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?

Answer 1

Answer will be:  40 bars.

Explanation

Given system of equations is......

Company A:  $y= 0.75x$  

Company B:  $y=10+0.50x$

here $x$ is the number of bars purchased and $y$ is the total cost in dollars.

If the total cost in each company is equal , then the equation will be.....

$0.75x=10+0.50x\\ \\ 0.75x-0.50x=10\\ \\ 0.25x=10\\ \\ x=\frac{10}{0.25}=40$

So, the team need to purchase 40 bars from each company in order for the total cost to be equal.