Question

Which system represents the problem?

Allan wants to buy hamburgers and french fries for a group. He has $25 to spend. He needs to buy 10 hamburgers. Hamburgers are $1.2 each, and fries are 85 cents per order. How many orders of french fries can he buy?
1.2x + 0.85y = 25; x = 10
x + y = 25; x = 10
1.2x + 0.85y = 10; x = 25

Answer 1

Allan can buy 15 orders of french fries.

Step-by-step explanation:

To solve the problem, we will set up a system of equations based on the given information:

• The cost of 10 hamburgers is $1.2 x 10 = $12.
• The cost of y orders of fries is $0.85y.
• The total cost, $12 + $0.85y, should be equal to $25.

So, the system of equations is:
1.2x + 0.85y = 25 (equation 1)
x = 10 (equation 2)

First, we can substitute the value of x from equation 2 into equation 1:

1.2(10) + 0.85y = 25

12 + 0.85y = 25

0.85y = 25 - 12

0.85y = 13

y = 13 / 0.85

y = 15.29

Since we can't have a fraction of an order, Allan can buy 15 orders of french fries.