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

40 bars __________________

Answer 2

The team needs to buy 40 health bars.

Explanation:

We are given that,

Number of bars purchased = x

Total cost of the bars = y (in dollars)

The prices of purchasing health bars from different companies are given by,

Company A:
`y = 0.75x`

Company B:
`y = 10+0.50x`

Now, the teams needs to find the number of bars so that the cost are equal.

That is, we get,

`0.75x=10+0.50x\\0.25x=10\\x=40`

Hence, the team needs to buy 40 health bars.