Question

he 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

Set the two expressions equal: 0.75x = 10 + 0.50x.
0.25x = 10 → x = 40.

So they must buy 40 bars (cost would be $0.75·40 = $30).