Question

You and your friend went shopping. you bought 3 shirts and 4 sweaters for $69. your friend bought 6 shirts and 2 sweaters for $66 how much does one shirt and one sweater coat each

I need this answered quickly ​

Answer 1

Shirt = $7

Sweatshirt = $12

Explanation:

Let T represent shirts and S to represent sweatshirts

you bought 3T + 4S = 69

your friend bought 6T + 2S = 66 multiply second equation by -2

-2 x 6T + 2S = 66

-12T - 4S = -132 now find the sum of this and first equation

3T + 4S -12T - 4S = 69 - 132 add like terms

-9T = -63 divide both sides by -9

T = 7 this is the cost of one shirt to find the cost of a sweatshirt we replace the T in any equation with 7

3T + 4S = 69

3*7 + 4S = 69

21 + 4S = 69 subtract 21 from both sides

4S = 48 divide both sides by 4

S = 12