At one store, 5 pairs of jeans and 2 sweatshirts costs $207, while 3 pairs of jeans and 4 sweatshirts costs $169. Find the cost of one sweatshirts

Respuesta :

According to the question :

Let;    jeans=j

          sweatshirts=s

⇒5 pair of jeans i.e 10 jeans and 2 sweatshirts costs=$207

  10j+2S=$207  (i)

⇒ 3 pair of jeans i.e 6 jeans and 4 sweatshirts costs=$169

   6J+4S=$167  (ii)

MULTIPLY equation (1) by 2

 10j+2S=$207  (i)×2

⇒20j+4s=$414  (iii)

By applying a  Simultaneous equation

On adding equation (ii) and (iii) we get

j=$17.6

s= $15.5

∴cost of 1 sweatshirt s= $15.5

What is meant by simultaneous equations?

a set of two or more equations, each containing two or more variables whose values can simultaneously satisfy both or all the equations in the set, the number of variables being equal to or less than the number of equations in the set.

Learn more about simultaneous equations here: https://brainly.com/question/16863577

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