bala spent $20 of his money on some books. he spent 25% of the remaining money on some pens. he had 33 1/3% of his original amount of money left. how much money did he had at first?

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# Question

# Answer

mr.tan

Let the amount spent on pens be u (blue block). So remaining amount after $20 and pens is 3u (green blocks). But that 3u is 33 1/3% = 1/3 of total amount. So total = 3 x 3u = 9u and $20 is represented as 9u - 4u = 5u. Thus u = 4 and 9u = 36.He had $36 at first.

sushi88

Let u be the total amount of money Bala had at first.

Money Spent Money Left

Books ** 20 ** u-20

Pens **(1/4)(u-20)** (1/3)u = 33 1/3 % of u = [ (100/3) x (1/100)u = (1/3)u]

If money left at the end is (1/3)u, this means total money spent = **(2/3)u**

**20** + **(1/4)(u-20)** = **(2/3)u ** ( x 12 on both sides)

240 +3u – 60 = 8u

5u = 180

u = 36

Hence Bala had $36 at first

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