Fiona spent 60% of her money on a number of marbles. She spent 15% of the remaining money on a few cards and 50% of what was left on a number of erasers.
- What fraction of her money was left?
- Given that the marbles cost $86 more than the erasers, find the sum of money Fiona had at first.
(a)
60% =
60100 =
35 Fraction of money left after buying the marbles = 1 -
35 =
25 15% =
15100 =
320 Fraction of remaining money after buying the cards = 1 -
320 =
1720 50% =
50100 =
12 Fraction of what is left after buying the erasers = 1 -
12 =
12 Fraction of money left after buying the marbles
=
25 x
1720 x
12=
17100 (b)
Fraction of money spent on the erasers
=
25 x
1720 x
12=
17100Fraction of money spent on the marbles
=
35=
60100Amount spent more on the marbles than the erasers
= 60 u - 17 u
= 43 u
43 u = 86
1 u = 86 ÷ 43 = 2
Amount that Fiona had at first
= 100 u
= 100 x 2
= $200
Answer(s): (a)
17100; (b) $200