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

Set them equal: 0.75x = 10 + 0.50x ⇒ 0.25x = 10 ⇒ x = 40.

They must buy 40 bars (cost = 0.75·40 = 30 dollars from each company).