Opal spent 80% of her money on a number of erasers. She spent 25% of the remaining money on a few beads and 50% of what was left on a number of marbles.
- What fraction of her money was left?
- Given that the erasers cost $87 more than the marbles, find the sum of money Opal had at first.
(a)
80% =
80100 =
45 Fraction of money left after buying the erasers = 1 -
45 =
15 25% =
25100 =
14 Fraction of remaining money after buying the beads = 1 -
14 =
34 50% =
50100 =
12 Fraction of what is left after buying the marbles = 1 -
12 =
12 Fraction of money left after buying the erasers
=
15 x
34 x
12=
340 (b)
Fraction of money spent on the marbles
=
15 x
34 x
12=
340Fraction of money spent on the erasers
=
45=
3240Amount spent more on the erasers than the marbles
= 32 u - 3 u
= 29 u
29 u = 87
1 u = 87 ÷ 29 = 3
Amount that Opal had at first
= 40 u
= 40 x 3
= $120
Answer(s): (a)
340; (b) $120
