Question

Mother spent 1/3 of her money on a silver chain and 1/6 of the remainder on a bottle of perfume. She gave her daughter $60 and had $155 left.

1. What fraction of money did mother spend on the bottle of perfume?
2. How much money did Mother spend on the silver chain?

Answer 1

Explanation:

Let the total money with her be 'x'.

Money spent to buy silver chain = (1/3)x

Remaining money = x - (1/3)x

`= (3)/(3)x-(1)/(3)x = (2)/(3)x`

Money spent on buying perfume =
`(1)/(6)*(2)/(3)x=(1)/(3)*(1)/(3)x=(1)/(9)x`

`x - (1)/(3)x - (1)/(9)x = 60 +155\\\\(9)/(9)x-(1*3)/(3*3)x-(1)/(9)x = 215\\\\(9-3-1)/(9)x = 215\\\\(5)/(9)x=215\\\\x = 215*(9)/(5)\\\\x = 43 * 9\\\\x = 387`

Total money = $ 387

1) Money spent on perfume =
`(1)/(9)*387 = 43`

=$ 43

2) Money spent on silver chain =
`(1)/(3)*387= 129`

= $ 129