Question

The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars.
Company A: y=0.75x
Company B: y=10+0.50x

How many bars would the team need to purchase from each company in order for the total cost to be equal?

6
8
30
40

Answer 1

Company A :  y=0.75x

Company B :  y=10+0.50x

x = number of bars purchased

y = cost in dollars

They ask us to calculate the number of bars that must be purchased so that the cost is the same in both companies, that is, that both y(company A) y(company B)

0.75x = 10 + 0.50x

We organize similar terms

0.75x - 0.50x = 10

0.25x = 10

x = 10/0.25

x = 40

40 bars must be purchased so that the cost is the same in both companies.

VERIFICATION

Company A: y=0.75x ---> 0.75(40) = $30

Company B: y=10+0.50x ---> 10 + 0.50(40)= $30

Correct!

The answer to your math question is: Both company A and B must buy 40 bars so that the cost of their purchase is the same in both.