Problema Solution

The drama club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $7.50, and bags of cookies cost $4.50, and sales equaled $37.50 in total. There were 3 more bags of cookies than candy sold.

Find the number of bags of candy and cookies sold by the drama club.

Answer provided by our tutors

let


x = the number of bags of candy


y = the number of bags of cookies


There were 3 more bags of cookies than candy sold:


y = x + 3


Bags of candy cost $7.50, and bags of cookies cost $4.50, and sales equaled $37.50:


7.50x + 4.50y = 37.50


by solving the system of equations:


y = x + 3


7.50x + 4.50y = 37.50


we find:


x = 2 bags of candies


y = 5 bags of cookies


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The drama club sold 2 bags od candies and 5 bags of cookies.