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.

Answer 1

Let's use the variables b for the cost of a burger meal and h for the cost of a hot dog meal.

From the information given, we can create a system of equations:

3b + 4h = 48 (for the Woodsons)
6b + 2h = 60 (for the Bakers)

To solve for b and h, we can use the method of substitution.

From the first equation, we can solve for h:
4h = 48 - 3b
h = (48 - 3b)/4

Now we can substitute this expression for h into the second equation:

6b + 2((48 - 3b)/4) = 60
6b + 24 - 6b = 60
24 = 60

This equation has no solution, which means there must have been a mistake in the information provided.

Answer 2

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

Answer 3

If x represents the cost of burger meals, then y represents the cost of hot dog meals.

Answer 4

The system of linear equations would look like

Answer 5

The system of linear equations would look like:

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

Answer 6

How much does a burger meal cost?

Answer 7

To find the cost of a burger meal, we can solve the system of equations:

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

Let's solve this system using the substitution method.

From the first equation:
3x = 48 - 4y
x = (48 - 4y)/3

Now substitute this expression for x into the second equation:
6((48 - 4y)/3) + 2y = 60
2(48 - 4y) + 2y = 60
96 - 8y + 2y = 60
-6y = -36
y = 6

Now substitute y = 6 back into the expression for x:
x = (48 - 4(6))/3
x = (48 - 24)/3
x = 24/3
x = 8

Therefore, a burger meal costs $8.

Answer 8

How much does a hot dog meal cost?

Answer 9

A hot dog meal costs $6.