Algebra - Please show your work

Question

Carrie went to Hamburger Hut twice last week. On the first trip, she bought 3 hamburgers and 4 orders of french fries for $22.75. On the second trip, she bought 2 burgers and an order of fries for $11. Which system of equations can be used to find the h, the price of a hamburger, and f, the price of an order of french fries? Please show your work.

Answer choices:

A. 3h + 4f = 22.75

2h + f = 11

B. 3h + 4f = 11

2h + f = 22.75

C. 4h + 3f = 11

h + 2f = 22.75

D. h + f = 22.75

4h + 3f = 11

Answer 1

Since Carrie bought either 2 or 3 burgers, you can eliminate choices C and D (h is no. of burgers purchased, so it can't be h or 4h).

Re: choices A and B, check the total dollar values. Only one of the two remaining answer choices will match the dollar amounts in the given information.

Answer 2

Find the price of a hamburger (h) and the price of an order of french fries (f):

h + 4f = 22.75 (1st trip)

2h + f = 11 (2nd trip)