The Woodson and Baker families went to the Burger Shack for dinner. The Woodsons bought 3 burger meals and 4 hot dog meals for $48. The Bakers bought 6 burger meals and 2 hot dog meals for $60. How much does each meal cost? Show your work.

Question

​If x represents the cost of burger meals, then y represents Response area.

The system of linear equations would look like Response area.

How much does a burger meal cost? Response area

How much does a hot dog meal cost? Response area

Answer 1

If x represents the cost of a burger meal and y represents the cost of a hot dog meal, then the system of linear equations would be:

3x + 4y = 48
6x + 2y = 60

To solve for x and y, we can use the method of elimination. Multiplying the second equation by -2, we get:

-12x - 4y = -120

Adding this equation to the first equation eliminates y:

(3x + 4y) + (-12x - 4y) = 48 - 120
-9x = -72
x = 8

Substituting x = 8 into the first equation, we can solve for y:

3(8) + 4y = 48
24 + 4y = 48
4y = 24
y = 6

Therefore, a burger meal costs $8 and a hot dog meal costs $6.