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:
The team needs to buy 40 health bars.
Step-by-step 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.