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? Response area
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 = 603x + 4y = 48 and 6x + 2y = 6048x + 60y = 9x + 6y $4 $6 $8 $9 $5
To solve the system of equations:
3x + 6y = 48
6x + 2y = 60
We can use the method of elimination by multiplying the first equation by 2 and the second equation by -3 to eliminate y:
6x + 12y = 96
-18x - 6y = -180
Adding the equations together gives:
-12x = -84
Solving for x:
x = 7
Substituting x = 7 in the first equation:
3(7) + 6y = 48
Simplifying:
21 + 6y = 48
Subtracting 21 from both sides:
6y = 27
Dividing by 6:
y = 4.5
Therefore, a burger meal costs $7 and a hot dog meal costs $4.50.