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Question

Jeff’s mother gave Jeff some money. He used an equal amount of money each day. At the end of the 7th day, he was left with 1/4 of how much he had at first. At the end of the 9th day, he was left with 410. How much did Jeff receive from his mother

Answer

Method 1 :
1 – 1/4 = 3/4 (used for the 1st 7 days)
1/4 – 410 (used for 8th and 9th days)
(3/4)/7 ——- (1/4 – 410)/2
(3/4) x (2/7) = 3/14 ——- (1/4 – 410)
1/4 – 3/14 = (7 – 6)/28 = 1/28 ——- 410
28/28 ——- 410 x 28 = 11480

Method 2 :
7 days ——- 3/4
1 day ——- 3/28
2 days ——- 6/28
6/28 ——- (1/4 – 410) = 7/28 – 410
1/28 ——- 410
28/28 ——- 410 x 28 = 11480

Ans : $11480.

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7 days = 3/4

1 day = 3/28

9 days = 27/28

 

1/28 = $410

 

$410 x 28 = $11480

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