Answer:
The burgers cost $2.50 and the cookies cost $1.25.
Step-by-step explanation:
Let b represent burgers and c represent cookies.
2b + 2c = 7.50
4b + 3c = 13.75
<u><em>Step 1:</em></u> Use one of the two equations and isolate one of the variables.
2b + 2c = 7.50
- 2c -2c
b = - c
b = 3.75 - c
<u><em>Step 2:</em></u> Plug what you get for b into the second equation.
4(3.75 - c) + 3c = 13.75
15 - 4c + 3c = 13.75
15 - 1c = 13.75
<u><em>Step 3:</em></u> Isolate the variable and solve for c.
15 - 1c = 13.75
-15 -15
c =
c = 1.25 ← <em>price for cookies</em>
<u><em>Step 4:</em></u> Plug in what you have for c into one of the previous equations and solve for b.
2b + 2(1.25) = 7.50
2b + 2.50 = 7.50
- 2.50 -2.50
b =
b = 2.50 ← <em>price for burgers </em>
Now you know the cost of each item:
The burgers cost $2.50 and the cookies cost $1.25.