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 Barker bought 6 burger meals and 2 hot dog meals for $60. How much does each meal cost? Show your work.

Answer 1

Burger meal costs $8 and hot dog meal costs $6.

Explanation:

To find the price per meal, write a system of equations.

Let b = cost of a burger meal and d = cost of a hot dog meal.

Write the equation 3b + 4d = 48 for the Woodsons.

Write the equation 6b + 2d = 60 for the Barkers.

Use elimination to solve the system. Begin by making the coefficients of one variable the same in both equations by multiplying 3b + 4d = 48 by 2.

2(3b + 4d = 48) ----> 6b + 8d = 96

Stack the equations and subtract.

6b + 8d = 96

- 6b + 2d = 60

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6d = 36

d = 6

Substitute d = 6 into one equation to solve for b.

3b + 4(6) = 48

3b + 24 = 48

3b = 24

b = 8