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Question

Mandy had $80 more than Kurt at first. After Mandy gave $150 to Kurt, he had thrice as much money as Mandy. How much money did Kurt have at first ? 

 

Pls help. Thanks a lot. 

Answer

At first —
Mandy : 1 unit + 80
Kurt : 1 unit

After —
Mandy : 1 unit + 80 – 150 = 1 unit – 70
Kurt : 1 unit + 150

1 unit + 150 = (1 unit – 70) x 3 = 3 units – 210
1 unit = (150 + 210)/(3 – 1) = 180

Ans : $180.

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This is a Before After question.

    Before    Transfer     After     
Mandy 1u + 80 – 150 1u – 70
Kurt 1u + 150 1u + 150  

 

(1u – 70) / 1 = (1u + 150) / 3

3u – 210 = 1u + 150

3u – 1u = 150 + 210

2u = 360

1u = 360 ÷ 2 = $180

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