Question

Eyal buys 4 chocolate chip cookies and two large milks from Insomnia Cookies for $10. Madeleine buys 7 chocolate chip cookies and 2 large milks from Insomnia Cookies for $14.50. How much does 1 large milk cost?

A) $2
B) $2.50
C) $3
D) $3.50

Answer 1

The cost of one large milk is $2, found by setting up equations based on purchases made by Eyal and Madeleine and solving for the cost of one large milk.

Step-by-step explanation:

To find out how much 1 large milk costs, we can set up two equations based on the purchases made by Eyal and Madeleine from Insomnia Cookies. If we let c be the cost of one chocolate chip cookie and m be the cost of one large milk, we have:

4c + 2m = $10 (1)

7c + 2m = $14.50 (2)

First, we need to isolate one of the variables. Subtracting equation (1) from equation (2), we get:

7c - 4c + 2m - 2m = $14.50 - $10

3c = $4.50

c = $1.50 (Cost of one chocolate chip cookie)

Now, substituting the cost of c back into equation (1):

4($1.50) + 2m = $10

$6 + 2m = $10

2m = $4

m = $2 (Cost of one large milk)
Thus, the correct answer is A) $2.