Ron Co. sold sweatshirts ($20) and baseball caps ($10). If total sales were $2,860 and people bought 6 times as many sweatshirts as caps, how many of each were sold?

Question

Mathematics

Mcintosh

6 December, 01:27

Ron Co. sold sweatshirts ($20) and baseball caps ($10). If total sales were $2,860 and people bought 6 times as many sweatshirts as caps, how many of each were sold?

+2

Answers (1)

Know the Answer?

Molly Hodge · Answer 1

Let the total number of sweatshirts sold be S and the total number of baseball caps sold be B

Total sales is the total number of sweatshirts sold times $20 plus the total number of baseball caps sold times 10.

Equation 1: 20S + 10B = 2860

people bought 6 times as many sweatshirts as caps. Which means the number of sweatshirts sold (S) is 6 times caps sold (B)

Equation 2: S = 6B - - - substitute S in equation 1 with 6B

=> 20 (6B) + 10B = 2860

=> 120B + 10B = 2860

=> 130B = 2860 - - - divide both side by 130

=> B = 2860/130

=> B = 22 - - - is the number of caps sold.

To find the number of sweatshirts sold we use equation 2

S = 6B - - - but we know now B = 22

=> S = 6 (22)

=> S = 132

therefore 132 sweatshirts sold and 22 baseball caps sold.