Question

13. A fast food restaurant sells hamburgers and hotdogs. One day you go in and get 4

hamburgers and 3 hotdogs for $25.50. The following week you go in and get 9 hamburgers and
2 hotdogs and pay $45.50. What is the price of 1 hamburger? What is the price of 1 hotdog?
WRITE and SOLVE a system of equations to solve this problem. Make sure to clearly define
your variables.

Answer 1

Explanation:

4x+3y=$25.50

9x+2y=$45.50

8x+6y=51

-27x-6y=$-136.50

-19x=-85.50

x=4.5

Answer 2

x is hamburger and y is hotdog
4x+3y=25.5
9x+2y=45.5
by using elimination method
8x+6y=51
-27x-6y=-136.5
-19x=-85.5
x=4.5

4(4.5) +3y=25.5
3y=7.5
y=2.5
hamburger $4.50 hotdog $2.50