Penelope spent 60% of her money on a number of marbles. She spent 20% of the remaining money on a few cards and 50% of what was left on a number of coins.
- What fraction of her money was left?
- Given that the marbles cost $88 more than the coins, find the sum of money Penelope had at first.
(a)
60% =
60100 =
35 Fraction of money left after buying the marbles = 1 -
35 =
25 20% =
20100 =
15 Fraction of remaining money after buying the cards = 1 -
15 =
45 50% =
50100 =
12 Fraction of what is left after buying the coins = 1 -
12 =
12 Fraction of money left after buying the marbles
=
25 x
45 x
12=
425 (b)
Fraction of money spent on the coins
=
25 x
45 x
12=
425Fraction of money spent on the marbles
=
35=
1525Amount spent more on the marbles than the coins
= 15 u - 4 u
= 11 u
11 u = 88
1 u = 88 ÷ 11 = 8
Amount that Penelope had at first
= 25 u
= 25 x 8
= $200
Answer(s): (a)
425; (b) $200
