Zara spent 70% 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 erasers.
- What fraction of her money was left?
- Given that the marbles cost $29 more than the erasers, find the sum of money Zara had at first.
(a)
70% =
70100 =
710 Fraction of money left after buying the marbles = 1 -
710 =
310 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 erasers = 1 -
12 =
12 Fraction of money left after buying the marbles
=
310 x
45 x
12=
325 (b)
Fraction of money spent on the erasers
=
310 x
45 x
12=
325Fraction of money spent on the marbles
=
710=
3550Amount spent more on the marbles than the erasers
= 17.5 u - 3 u
= 14.5 u
14.5 u = 29
1 u = 29 ÷ 14.5 = 2
Amount that Zara had at first
= 25 u
= 25 x 2
= $50
Answer(s): (a)
325; (b) $50