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.
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
If x represents the cost of burger meals and y represents the cost of hot dog meals, the system of linear equations would look like:
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) gives us:
-12x - 4y = -120
Adding this to the first equation eliminates the y variable:
3x + 4y - 12x - 4y = 48 - 120
-9x = -72
x = 8
Substituting x = 8 into either equation gives us:
3(8) + 4y = 48
24 + 4y = 48
4y = 24
y = 6
Therefore, a burger meal costs $8 and a hot dog meal costs $6.