The Crews family went on a day trip to Nashville. For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65. For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77. How many adults and how many children were on the trip?

Answers

Answer 1

Answer:

Number of adult were on the trip = 4

Number of child were on the trip = 7

Step-by-step explanation:

Let the Number of adult were on the trip = x

Let the Number of child were on the trip = y

As given,

For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65.

⇒7.50x + 5y = 65            ...........(1)

Also,

For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77.

⇒10.50x + 5y = 77            ...........(2)

Now,

Subtract equation (2) from equation (1) , we get

10.50x + 5y  - ( 7.50x + 5y ) = 77 - 65

⇒10.50x + 5y  - 7.50x - 5y  = 12

⇒10.50x - 7.50x  = 12

⇒3x = 12

⇒x = [tex]\frac{12}{3}[/tex] = 4

⇒x = 4

Now,

Put the value of x in equation (2) , we get

10.50(4) + 5y = 77

⇒42 + 5y = 77

⇒5y = 77 - 42

⇒5y = 35

⇒y = [tex]\frac{35}{5}[/tex] = 7

⇒y = 7

∴ we get

Number of adult were on the trip = x = 4

Number of child were on the trip = y = 7


Related Questions

Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that none of the graduates have a summer job

Answers

Answer:

[tex]0.0467[/tex] is the probability that none of the graduates have a summer job

Step-by-step explanation:

Here

P [tex]= 0.40[/tex] and n [tex]= 6[/tex]

Probability that none of the graduate gets job

this means that x = 0

P (x = 0) [tex]= ^6C_0 * (0.40)^0 * (0.60)^6[/tex]

P (x = 0) [tex]= 0.0467[/tex]

what is the value of x in 2x = 64​

Answers

Answer:

2×=64

2×/2=64/2

×=32.....x is solved

Answer:

x=32

Step-by-step explanation:

when divided by 2, 64 is equal to 32

If 8 spiders can spin 24 webs in 6 days, how many days will it take 12 spiders to spin 18 webs?

Answers

Answer:

3 days

Step-by-step explanation:

See the steps below, one ratio - one pair of numbers changes at a time.

      spiders    webs      days

8                24        6               8                 4         1               ⇒   Divide by 6 2                 1         1               ⇒   Divide by 4 12                6         1               ⇒   Multiply by 6 12               18        3               ⇒   Multiply by 3

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Answers

First one is negative 3 then its negative 3 over 6

Darnell's team scored 40 points at the game. Darnell scored 15% of the team's points. How many points did Darnell score?

Answers

Answer:

Darnel scored 6 points

Step-by-step explanation:

15% of 40 can be written as 40 * 0.15 which is 6. Darnell scored 6 points.

2(f^4)^2f^2
——————-
8f^12

Answers

Answer:

=2f^10

Step-by-step explanation:

1. Evaluate each expression:


a. −12•13


b. −12•−13


c. 12•(−54)


d. −12•(−54)

Answers

Answer:

a.  −12•13= -156

b. −12•−13= 156

c. 12•(−54) = -648

d. −12•(−54) = 648

Step-by-step explanation:

a and c have negative

b and d have positive

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Answer:

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Step-by-step explanation:



Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%

Answers

Answer:

Decreasing; 0.8%

Area: 252 ft2
Express the side length of this square as a radical in simplest form

Answers

side length = √252
= √(2² × 3² × 7)
= √2² × √3² × √7
= 2 × 3 × √7
= 6√7

Halla 2 enteros cuyo producto sea 210 y uno de los enteros debe ser uno menos que el doble del otro​

Answers

El ejercicio, se resuelve mediante un sistema de ecuaciones.

Llamemos a los enteros A y B.

1) A*B= 210.
2)B=(1+2A)

Sustituyendo 2 en 1

A*(1+2A)=210.

A+2A²-210= 0

Utilizaremos la siguiente ecuación:



Siendo a=2, b=1, c=-210

A₁=10
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Answers

Answer:

9e

Step-by-step explanation:

If e is a variable without a value then 5e*4e is 9e.

Just add the numbers
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Answers

Answer:

area of a square

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=144cm^2

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[tex]y + 4 + 3(y + 2)[/tex]
[tex]5x + 3(y + 4x)[/tex]

Answers

Answer:

17x+7y+10

Step-by-step explanation:

y+4+3(y+2)

you have to multiply 3 by the numbers/variables in the parenthesis

y+4+3y+5

Do the same to the other equation

5x+3(y+4x)

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Set an equation that will let you add their like terms.

y+4+3y+5+5x+3y+12x

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y+3y+3y = 7y

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5x+12x = 17x

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If 3/4 of the class likes soda and 3/5 of those who like soda prefer Coke, what PERCENT of the whole class that likes Coke?

Answers

Answer:

For soda =3/4

For coke= 3/5 X 3/4=9/20

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Therefore X% of 1 =9/20

Solving :

X/100 X 1 =9/20

X/100=9/20

20X =900

X= 900/20 = 45%

Bob has 17/23 left of a wall to demolish. Each swing of a sledgehammer brings down an additional 17/161 of the wall. How many more swings will it take him to bring down all of the wall?

Answers

(17/23)/(17/161) = 161/23 = 7

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Answers

Answer:

[tex] \huge x > 3[/tex]

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Answer:

x>3

Step-by-step explanation:

thats the answer.......

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Answers

Answer:

3.5 days

Step-by-step explanation:

Given

[tex]Day\ 1 = 343\ miles[/tex]

Required

Number of days to drive 1200 miles

Represent as ratio:

[tex]Day\ 1 = 343\ miles[/tex]

[tex]Ratio = 1 : 343[/tex]

For 1200 miles

[tex]Ratio = x : 1200[/tex]

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Express as fractions

[tex]x/1200 = 1/343[/tex]

Multiply by 120

[tex]x/1200 *1200= 1/343*1200[/tex]

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SHOW work
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Answers

Answer:

5.3 divided by 0.25 is 21.2

Answer: 21.2______________________________________Divide 5.3 ÷ 0.25 = 21.2______________________________________

Sorry, Loves.

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Answers

Answer:

A.

Step-by-step explanation:

because a right angle was the same legnth as that figure and also you can make a L so its A

A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.50 per slice of pizza. Shandra purchased a membership to this pizza shop. How much would Shandra have to pay the pizza shop if she bought 5 slices of pizza this month? What would be the monthly cost for x slices of pizza?

Answers

Answer:

Shandra would pay $27.50 for 5 slices

Cost = 20+1.50x

Step-by-step explanation:

Given

[tex]Membership = \$20[/tex]

[tex]Discounted\ Price = \$1.50[/tex] per slice

Solving (a): Cost of 5 slices

Represent the total price with y and the number of slice with x.

So, we have:

[tex]y = Membership + Discounted\ Price * x[/tex]

This gives:

[tex]y = 20+ 1.50* x[/tex]

In this case: x = 5.

So, we have:

[tex]y = 20+ 1.50* 5[/tex]

[tex]y = 20+ 7.50[/tex]

[tex]y = 27.50[/tex]

Shandra would pay $27.50 for 5 slices

Solving (b): Cost of x slices

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[tex]y = 20+ 1.50* x[/tex]

[tex]y = 20+1.50x[/tex]

Hence, the cost of x slices is 20+1.50x

Brgy. Mataas has a
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Answers

Answer:

Step-by-step explanation:

Your answer

40% of 365000 is = 146000

Mark it as Brainlist answer. Follow me.

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Answers

Answer:

The slope of the line will be 1//3

Step-by-step explanation:

Hope this Helped

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Answers

Answer:

592.83 ft^2

Step-by-step explanation:

First estimate the area of the rectangle:

Area rectangle = Base x Height = 20 * 36 = 720 ft^2

and then subtract from it the area of a semi-circle of radius 18/2 = 9 ft

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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1. AB = CB                                  Definition of isosceles triangle

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Answers

Answer:-
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Explanation:-
Kilometres into metres
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Answers

Answer:

y = 16

Step-by-step explanation:

Given

4(8 + y) = 96 ( divide both sides by 4 )

8 + y = 24 ( subtract 8 from both sides )

y = 16

Answer:

y = 16

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*(8+y)-(96)=0

4 • (y + 8) -  96  = 0

Pull out like factors :

4y - 64  =   4 • (y - 16)

4 • (y - 16)  = 0

Solve :    4   =  0

This equation has no solution.

A non-zero constant never equals zero.

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Add  16  to both sides of the equation :

                     y = 16

Algebra roller coaster building it most state from the ground and it have to be 100ft

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Answer:

sa taas nito ay 50 square meter kung pagbabasihan mo sa ibaba 55 square meter malaki rin sa baba kaya ang tawag dyaan ay centementer

I hope I can help you and give me a star even if I am only 5 or 4 stars and please put a heart for many

A blender was originally sold for $90 and has been marked down to $79.20. What is the percentage of discount for the blender

Answers

Answer:

12%

Step-by-step explanation:

Percentage discount

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