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?
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.
