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?

Question

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?

Answer 1

Let's set up the system of linear equations based on the information given:

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

Now, let's solve this system of equations. First, let's multiply the first equation by 2 to make the coefficients of y in both equations the same:

6x + 8y = 96
6x + 2y = 60

Now, subtract the second equation from the first:

6x + 8y - 6x - 2y = 96 - 60
6y = 36
y = 6

Now that we have the value of y, let's substitute it back into the first equation to solve for x:

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

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