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Question

Pat and Kamal had $575 altogether. Pat spent 3/5 of her money and Kamal spent $150. Pat then had three times as much money as Kamal. How much did Kamal have at first?

Answer

At first

Pat -> 5u

Kamal -> 575 – 5u

After

Pat -> 2u

Kamal -> (575 – 5u) – 150 = 425 – 5u

 

Given : Pat had 3 times as much as Kamal

2u = 3 × (425 – 5u)

2u = 1275 – 15u

17u =  1275

u = 75

At first, Kamal had (575 – 5u) = 575 – (5 × 75) = $200

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Pat and Kamal had $575 altogether. Pat spent 3/5 of her money and Kamal spent $150. Pat then had three times as much money as Kamal. How much did Kamal have at first?

After :
Pat : 6u
Kamal : 2u

Before :
Pat : 6u + 9u = 15u
Kamal : 2u + 150

15u + 2u + 150 = 17u + 150 ——- 575
1u ——- (575 – 150)/17 = 25
2u + 150 ——- 2 x 25 + 150 = 200

Ans : $200.

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Working backwards

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