Answer:
Soda = $4.75
Hotdog = $2.5
Step-by-step explanation:
Let the price for soda be A and that of hotdog be B
2 sodas and three hotdogs are $17.
That’s
2A + 3B = 17
Also, 5 sodas and 6 hotdogs are $38.75
That’s
5A + 6B = 38.75
We now have two equations
Equation 1: 2A + 3B = 17
Equation 2: 5A + 6B = 38.75
Multiply equation 1 by 5 and equation 2 by 2
We have
5 x 2A + 5 x 3B = 5 x 17
2 x 5A + 2 x 6B = 2 x 38.75
10A + 15B = 85
10A + 12B = 77.5
Subtract equation two from equation one
3B = 7.5
Divide both sides by 3
B = 7.5/3
B = 2.5
Now substitute 2.5 for B in either of the equations to get A.
Using equation 1 , we have
2A + 3B = 17
2A + 3 x 2.5 = 17
2A + 7.5 = 17
Subtract 7.5 from both sides
2A + 7.5 - 7.5 = 17 - 7.5
2A = 9.5
Divide both sides by by 2
A = 9.5/2
A = 4.75
Each soda cost $4.75 while each hotdog cost $2.5
