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metropolitan high school sells sweat shirts and t shirts at each athletic event. during the first event, they sold 12 sweatshirts and 8 t-shirts for a total of $312. the school took in $300 during a second event by selling 8 sweatshirts and 13 t-shirts. what is the price of one sweatshirt and one t shirt

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Respuesta :

Answer:

T = $12

S =$18

Step-by-step explanation:

This question would be solved using simultaneous equation

Let t = cost of t-shirt

s = price of sweatshirt

two equations can be derived from this question

12s + 8t = 312   eqn 1

8s + 13t = 300   eqn 2

Multiply eqn 1 by 8 and eqn 2 by 12 :

96s + 64t = 2496 eqn 3

96s + 156t = 3600 eqn 4

subtract eqn 3 from 4

92t =1104

t = 12

Substitute for t in eqn 1

12s + 8(12) = 312

12s + 96 = 312

12s = 216

s = 18