The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing the health bars from two different companies are represented by the system of equation shown, were X is the number of bars purchased, and Y is the total of Cost in dollars.
Company A: Y= 0.75X
company B: Y= 10+0.50x
To solve the system of equations, we have:
Y = 0.75X
Y = 10 + 0.50X
We can set the two equations equal to each other and solve for X:
0.75X = 10 + 0.50X
0.75X - 0.50X = 10
0.25X = 10
X = 10 / 0.25
X = 40
So, the soccer team needs to purchase 40 health bars in order to break even in terms of cost.
To find the cost (Y), we can substitute this value of X back into one of the original equations. Let's use the first equation:
Y = 0.75X
Y = 0.75 * 40
Y = 30
Therefore, the total cost (Y) for purchasing 40 health bars from either company A or company B would be $30.