Two families go skiing on a Saturday. Together, they spend $95 on pizza at a local restaurant and $65.73 for breakfast. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. How much would it cost two adults and five kids to ski for a day?

Answers

Answer 1

Answer:

$189

Step-by-step explanation:

We can create a system of equations to solve this equation. They are as follows:

[tex]2A + 4Y = 166\\4A + 5Y = 263[/tex]

In this case, I used "A" to represent adult lift tickets and "Y" to represent youth lift tickets.

We need to get one of the variable (A or Y) by itself in one of the equations. I am going to use the first equation.

[tex]2A = -4Y + 166\\A = -\frac{4}{2}Y + \frac{166}{2} \\A = -2Y + 83[/tex]

Now that we have A by itself we can plug it into the second equation.

[tex]4(-2Y + 83) + 5Y = 263\\-8Y + 332 + 5y = 263\\-3Y + 332 = 263\\-3Y = -69\\Y = 23[/tex]

We have found Y now lets plug it back into the first equation to find the value of A.

[tex]2A + 4(23) = 166\\2A + 92 = 166\\2A = 74\\A = 37[/tex]

Let's check our variables by plugging them both in to the second equation.

[tex]4(37) + 5(23) = 263\\148 + 115 = 263\\263 = 263[/tex]

Lastly, we can find out how much it would cost 2 adults and 5 kids to ski for a day, using this equation:

[tex]2A + 5Y = ?\\\\2(37) + 5(23) = ?\\\\74 + 115 = 189\\[/tex]

Therefore, 2 adult tickets and 5 kid tickets would cost $189.

Hope this helps!!

- Kay :)

If you have any questions feel free to ask!


Related Questions

8(4x+6) -58 = 2(7x+31) helpppppppppppppppp

Answers

Step-by-step explanation:

8(4x+6) -58 = 2(7x+31)

32x + 48 - 58 = 14x + 62

32x -10 = 14x +62

32x - 14x = 62+10

18 x = 72

x = 72 /18

x = 4

plz mark my answer as brainlist plzzzz vote me also so ....plzzzz

Nora has nn nickels and dd dimes. She has a minimum of $2 worth of coins altogether. Write this situation as an inequality.

Answers

Answer:

0.05nn + 0.10dd ≥ 2

*make sure it is either n or nn depending whether you had a typo in problem*

Step-by-step explanation:

First each nickel is worth 0.05

each dime is 0.10

and we must have a minimum so the total value has to be at least $2

so 0.05nn + 0.10dd ≥ 2

please give thanks by clicking the heart button :)

All truck travels 2,400 m in 60 hours, going the same distance each hour. How many miles does the truck travel each hour?

Answers

Answer:

The truck travels 40 miles per hour.

Step-by-step explanation:

You can use proportion to solve this.

[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]

Evaluate (3n + 2) – 10 when n = 3.

First, evaluate within the parentheses. Then evaluate exponents. Next, multiply and divide from left to right. Then, add and subtract from left to right.

Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.

Substitute the given value for the
.
Use the
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Next, complete the
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Last, complete the subtraction.
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Answers

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Step-by-step explanation:

(3x3-2)-10=(9+2)-10=11-10=1

Answer:

The value is 1.

Step-by-step explanation:

(3n + 2) – 10

(3(3) + 2) – 10

9+2-10

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1

-3x + 12 = -36
solve for x

Answers

Answer:

x=16

Step-by-step explanation:

-3x+12=-36

     -12 | -12

-3x=-48

/-3 | /-3

x=16 because the negatives cancel out eachother so it would be x=48/3 and 48/3=16

apple's cost 3.60 for 3 pound how much pounds for 8.40$​

Answers

Answer:

7 pounds.

Step-by-step explanation:

3.60 for 3 pounds

1.20 per pound.

8.40/1.20 = 7 pounds

Solving equations

2(x-4) = -4(2x+1)

Answers

Answer:

x=2

THAT IS ALL I KNOW SORRY

Step-by-step explanation:

Answer:

x = -1.2

Step-by-step explanation:

First distribute

2x + 8 = -8x - 4

next move variables to one side

2x + 8 = -8x - 4

+8x        +8x

10x + 8 = -4

now get the variable by its self

10x + 8 = -4

       -8   -8

10x = -12

/10.    /10

x = -1.2

5{ 10 [6 + 9 ( 57 - 48 ) + 12]}​

Answers

Answer:

230

Step-by-step explanation:

The answer is 4959
Following pemdas you do everything in the parentheses first and work outwards into the other parentheses
57-48=9
9x9= 81
6+81+12= 99
10(99)=990
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Answers

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

4(5.5 + 6) - 3(6 + 4)

4(11.6) - 3(10)

46.4 - 30

16.4

Answer:

The answer is 16.

Step-by-step explanation:

4(x+6)−3(y+4)

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Answers

Answer:

Step-by-step explanation:

You will get the degree of the polynomial by adding the exponent of the variable include in the polynomial.
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Answers

Answer:

Step-by-step explanation:

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Answers

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Sugar and flour are mixed in the ratio 3.5 in a sweet recipe in another recipe 15 parts of flour are used if these two ingredeints on both recipes are in both recipes are an equivalent ratio

Answers

Answer: 9

Step-by-step explanation:

Here is the completed question.

Sugar and flour are mixed in the ratio 3:5 in a sweet recipe. In another recipe, 15 parts of flour are used. If these two ingredients in both recipes are in an equivalent ratio, how many parts of sugar should be used?

Ratio of sugar and flour = 3:5

Since 15 parts of flour are used, the parts of sugar that should be used will be:

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2.25

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

see explanation

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is between the limits

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Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

QN = 17

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Answers

9514 1404 393

Answer:

  C  18(2 + 3)

Step-by-step explanation:

The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...

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Answers

Answer:

fe

Step-by-step explanation:

1. The value of (301)^2 – (300)^2 is

Answers

answer:
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X
16
20

Answers

Answer:

x = 58.47

Step-by-step explanation:

Use SOH CAH TOA

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Answer:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer: There is no solution

has a business selling perfume at the mall. Currently his business has a
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Choose ALL that apply.
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$21
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Answers

Answer:

$29, $21, $30, $35

Step-by-step explanation:

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Answers

Answer:

C

Step-by-step explanation:

By converting radians 5π /6 into a degree, we get the nearest degree 150.

How to convert radians into a degree?

We can convert radians into a degree by using the formula

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To 5π /6 convert radians into a degree,

Degree = Radians x (180°) / π

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Learn more about Degree;

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