During a sale at the local department store, you buy three sweatshirts and two pairs of sweatpants for $85.50. Later you buy three more sweatshirts and four more pairs of sweatpants for $123.00 What is the sale price of each sweatshirt and each pair of sweatpants?

Question

During a sale at the local department store, you buy three sweatshirts and two pairs of sweatpants for $85.50.  Later you buy three more sweatshirts and four more pairs of sweatpants for $123.00  What is the sale price of each sweatshirt and each pair of sweatpants?

PsyDAG · Answer

let x = shirts and y = pants 3x + 4y = 123 3x + 2y = 85.5 Subtract second equation from first. 2y = 37.5 Can you carry on from there?