Olivia spent 60% of her money on a number of stamps. She spent 20% of the remaining money on a few marbles and 50% of what was left on a number of stickers.
- What fraction of her money was left?
- Given that the stamps cost $55 more than the stickers, find the sum of money Olivia had at first.
(a)
60% =
60100 =
35 Fraction of money left after buying the stamps = 1 -
35 =
25 20% =
20100 =
15 Fraction of remaining money after buying the marbles = 1 -
15 =
45 50% =
50100 =
12 Fraction of what is left after buying the stickers = 1 -
12 =
12 Fraction of money left after buying the stamps
=
25 x
45 x
12=
425 (b)
Fraction of money spent on the stickers
=
25 x
45 x
12=
425Fraction of money spent on the stamps
=
35=
1525Amount spent more on the stamps than the stickers
= 15 u - 4 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Amount that Olivia had at first
= 25 u
= 25 x 5
= $125
Answer(s): (a)
425; (b) $125
