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? _
Word bank:
The total $ spent on both meals
The number of hot dogs meals
The cost of a got 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
Given the information provided, we can set up a system of linear equations as follows:
Let x represent the cost of a burger meal and y represent the cost of a hot dog meal.
From the Woodson's purchase:
3x + 4y = 48
From the Baker's purchase:
6x + 2y = 60
We can simplify the equations to:
3x + 4y = 48
6x + 2y = 60
To solve for the cost of each meal, we can use the elimination method to find the values of x and y.
Multiplying the first equation by 2 and the second equation by -1, we get:
6x + 8y = 96
-6x - 2y = -60
Adding the equations, we have:
6y = 36
y = 36 / 6
y = 6
Now, substituting the value of y back into the first equation:
3x + 4(6) = 48
3x + 24 = 48
3x = 24
x = 24 / 3
x = 8
Therefore, the cost of a burger meal is $8 and the cost of a hot dog meal is $6.