The Woodson and Baker families went to the Burger Shack for dinner. The Woodsons bought 3 burger meals and 4 hot dog meals

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
The system of linear equations would look like
How much does a burger meal cost?
How much does a hot dog meal cost?
The total $ spent on both meals
:: The number of hot dog meals
:: The cost of a hot dog meal
3x+6y= 48 and 6x + 4y = 60 :: 3x + 4y = 48 and 6x + 2y = 60
48x+60y=9x+6y
:: $4
:: $6
:: $8
:: $9
:: $5

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1 answer
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Answer 1

Bot GPT 3.5 answered
6 months ago

To solve this system of equations:

1) Multiply the first equation by 2 to make the coefficients of y the same in both equations:
6x + 12y = 96

2) Subtract the second equation from the modified first equation to eliminate y:
6x + 12y - (6x + 4y) = 96 - 60
8y = 36
y = $4.50

3) Substitute the value of y back into the first equation to solve for x:
3x + 4(4.50) = 48
3x + 18 = 48
3x = 30
x = $10

Therefore, a burger meal costs $10 and a hot dog meal costs $4.50.