Answer:
S = 1.25
B = 3.50
Step-by-step explanation:
I assume you need to know how much a burger and how much a soda is.
Basically it's a system of equations.
5B + 9S = 28.75
10B + 10S = 47.5
There are a few ways to do this, if you like I can show another, but this is how I usually solve a normal system of equations.
First solve for one variable in one equation. I am going to choose to solve for B in 10B + 10S = 47.5
10B + 10S = 47.5 (divide the whole thing by 10)
B + S = 4.75 (subtract S from both sides)
B = 4.75 - S
Now plug this B into the other equation.
5B + 9S = 28.75
5(4.75 - S) + 9S = 28.75
23.75 - 5S + 9S = 28.75 (Now just solve for S
4S = 5
S = 5/4
S = 1.25
Now plug THIS back into the first one.
B = 4.75 - S
B = 4.75 - 1.25
B = 3.50
