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5. Mrs. Perkins hosts a birthday party for her son and 7 guests. She orders 2 cookies and a
cupcake for each child. The cost of the cupcake is $2.75, and the total bill is $46.00. What is the
cost of a cookie?

Respuesta :

vanillanekox3

Answer:

A cookie is $1.50.

Step-by-step explanation:

Variable x = cost of cookies

For each child means the 7 guests plus Mrs. Perkins' son which equals 8.

Set up an equation:

(2x)8 + (2.75)8 = 46

Use distributive property:

16x + 22 = 46

Isolate variable x by subtracting both sides by 22:

16x = 24

Isolate variable x by dividing both sides by 16

x = 1.5

Check your work:

2(1.5) × 8 + (2.75)8 = 46

3 × 8 + 22 = 46

24 + 22 = 46

46 = 46

Correct!

Answer: $1.50 per cookie

Step-by-step explanation:

We know that each cupcake is worth $2.75 and the total bill of all her purchases is $46.

Therefore, lets multiply the cost of a cupcake times the amount of people eating them. (the sons and 7 guests which add up to 8)

2.75(8) = $22

Now take the total cost of 8 cupcakes and subtract it from the total.

46 - 22 =  $24

24 dollars is equal to the cost times the amount of cookies purchased. Therefore, let X equal to the cost per cookie and multiply it times the amount of cookies purchased. The amount of cookies is equal to 2 cookies times 8 children.

(2*8)X = 24

16x=24

x= $1.50

Check:

8[ (1)(2.75) + 2X ] = 46

8[ 2.75 + (2) (1.50) ] = 46

22 + 24 = 46

46 = 46