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Question

At first 25% of Charles money was the same as 1/3 of June’s money. Then June’s father gave her $80 while Charles spent $150. In the end, June had 2 1/2 times as much money as Charles.

  1. How much money did Charles have at first ? 2. How much money did June have in the end

Answer

1.
At first —
Charles’ money : 4 units
June “s money : 3 units
Then —
(4 units – 150) x 2.5 = 10 units – 375 = 3 units + 80
1 unit = (80 + 375)/(10 – 3) = 65
4 units = 260

2.
3 units + 80 = 3 x 65 + 80 = 275

Ans : 1. $260; 2. $275.

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            C   :     J

           4u   :    3u  (since 1/4 of C =1/3 of J) 

   -150 |         |+80

           2p   :    5p

4u – 150 = 2p 

3u + 80 = 5p

20u – 750 = 10p

6u + 160 = 10p

14u – 910 = 0

14u = 910

1u = 910÷14

      = 65

a) C at first = 4u

                      =4 × $65

                     =$260 (ans)

b) J in the end = 3u + $80

                           = 3 × $65 + $80

                           = $275 (ans)

 

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