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parks spent 1/3 of his money on a sweater he spent 3/5 of the remainder on a pair of jeans if he has $36 left how much did the sweater cost

Respuesta :

anthonyalvarado1
(1/3)x36=12x(3/5)=7.2

Answer: The sweater cost $45

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

  • M = money Park has  
  • He spent 1/3 of his money on a sweater = 1/3 M
  • He spent 3/5 of the remainder on a pair of jeans = (1 -1/3) 3/5 = 2/3 *3/5 M
  • Money left = 36

So, we have to add the costs of the sweater and the jeans. That expression must be equal to the total money he has minus 36 (money left)

1/3 M + 3/5 * 2/3 M = M - 36  

Solving:

1/3 M + 6 / 15 M = M - 36  

11 / 15 M = M - 36  

11/15 M -M =-36

-4/15 M =- 36  

M = -36 / (-4/15)

M = 135  

Sweater costs 1/3 M =1/3 ( 135) = $45  

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