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How much did Aaron start with? Aaron spent 3/7 of his money. He gave ¼ of the remainder to his sister. He had $120 left. How mu...Asked by Anonymous
How much did Aaron start with?
Aaron spent 3/7 of his money. He gave 1/4 of the remainder to his sister. He had $120 left. How much money did he have in the beginning? Explain how you got your answer.
Aaron spent 3/7 of his money. He gave 1/4 of the remainder to his sister. He had $120 left. How much money did he have in the beginning? Explain how you got your answer.
Answers
Answered by
Ms. Sue
(3/7)x + (1/4 * 4/7x) + 120 = x
(3/7)x + (1/7)x + 120 = x
4/7x + 120 = x
120 = (3/7)x
120 / (3/7) = x
120 * (7/3) = x
840/3 = x
280 = x
(3/7)x + (1/7)x + 120 = x
4/7x + 120 = x
120 = (3/7)x
120 / (3/7) = x
120 * (7/3) = x
840/3 = x
280 = x
Answered by
Reiny
Assume Aaron had x dollars
he gave 3/7 x away, so he has 4x/7 left.
he gives 1/4 of what he has left to his sister, so he has (3/4)(4x/7) left
(3/4)(4x/7) = 120
12x/28 = 120
x = 120(28/12) = $ 280
he gave 3/7 x away, so he has 4x/7 left.
he gives 1/4 of what he has left to his sister, so he has (3/4)(4x/7) left
(3/4)(4x/7) = 120
12x/28 = 120
x = 120(28/12) = $ 280
Answered by
kara
280
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