The drama club sold bags of candy and cookies to raise money for the spring show.

Question

 Bags of candy cost $8.50, and bags of cookies cost $4.50, and sales equaled $79.00 in total. There were 6 more bags of cookies than candy sold.

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

Answer 1

Hello Kimberly,

Let's call x: the number of bags of candy.

Since there were 6 more bags of cookies than candy sold, the number of cookies sold can be represented by x+6.

Total sales were $79.00, so cookies sales + candy sales = $79.00

Candy sales = (Cost of one bag of candy) * (number of candy bags sold) = 8.50 *x

Cookies sales = (Cost of one bag of cookies) * (number of cookies bags sold) = 4.50*(x+6) = 4.50*x + 27

Adding both to get $79.00 in total sales: 8.50x + 4.50x + 27 = 79

Adding like terms: 13x + 27 = 79

Subtract 27 on both sides: 13x = 52

Divide both sides by 13: x = 4 ---> so the drama club sold 4 bags of candy.

Since the drama club sold 6 more bags of cookies than candy, you can figure out how many of those were sold.

Cheers.