# Question

Dave spent \$75 of his money on a number of video games. he spent 1/4 of the remaining money on a number of batteries. given that he was left with 1/3 of his original sum of money, how much money did Dave have at first?

Dave spent \$75 of his money on a number of video games. he spent 1/4 of the remaining money on a number of batteries. given that he was left with 1/3 of his original sum of money, how much money did Dave have at first?

Total units = 3

\$75  + 1/4 (3U – \$75) = 2 U

\$75 +3/4 Unit – 75/4 = 2 Unit

\$56.25 = 1.25 Units

3 Units = \$135

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original sumo of money : 75 + 4 units
75 + 4 units – 75 – 1 unit = 3 units ——- 1/3 of his original sum of money
75 + 1 unit ——- 2/3 of his original sum of money
75 + 1 unit = 3 units x 2 = 6 units
1 unit = 75/(6 – 1) = 15
75 + 4 x 15 = 135

Ans : \$135.

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This is a Part whole question.

 Games battery leat total R1 75 1u 3u 75 + 4u

3u / 1  = (75 + 4u) / 3

9u = 75 + 4u

9u – 4u = 75

5u = 75

1u = 75 ÷ 5 = 15

4u = 15 × 4 = 60

60 + 75 = \$135

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