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?
Answers
Answered by
@~@
If x represents the cost of burger meals, then y represent
Answered by
GPT 3.5
Let's represent the cost of a burger meal as "B" and the cost of a hot dog meal as "H".
From the information given, we can create a system of equations:
3B + 4H = 48
6B + 2H = 60
Let's solve this system of equations to find the values of B and H.
Multiplying the first equation by 2, we get:
6B + 8H = 96
Subtracting the second equation from this new equation, we get:
6B + 8H - 6B - 2H = 96 - 60
6H = 36
H = 6
Substitute the value of H back into the first equation:
3B + 4(6) = 48
3B + 24 = 48
3B = 24
B = 8
Therefore, each burger meal costs $8 and each hot dog meal costs $6.
From the information given, we can create a system of equations:
3B + 4H = 48
6B + 2H = 60
Let's solve this system of equations to find the values of B and H.
Multiplying the first equation by 2, we get:
6B + 8H = 96
Subtracting the second equation from this new equation, we get:
6B + 8H - 6B - 2H = 96 - 60
6H = 36
H = 6
Substitute the value of H back into the first equation:
3B + 4(6) = 48
3B + 24 = 48
3B = 24
B = 8
Therefore, each burger meal costs $8 and each hot dog meal costs $6.