Lucy spent 80% of her money on a number of buttons. She spent 20% of the remaining money on a few erasers and 50% of what was left on a number of beads.
- What fraction of her money was left?
- Given that the buttons cost $72 more than the beads, find the sum of money Lucy had at first.
(a)
80% =
80100 =
45 Fraction of money left after buying the buttons = 1 -
45 =
15 20% =
20100 =
15 Fraction of remaining money after buying the erasers = 1 -
15 =
45 50% =
50100 =
12 Fraction of what is left after buying the beads = 1 -
12 =
12 Fraction of money left after buying the buttons
=
15 x
45 x
12=
225 (b)
Fraction of money spent on the beads
=
15 x
45 x
12=
225Fraction of money spent on the buttons
=
45=
2025Amount spent more on the buttons than the beads
= 20 u - 2 u
= 18 u
18 u = 72
1 u = 72 ÷ 18 = 4
Amount that Lucy had at first
= 25 u
= 25 x 4
= $100
Answer(s): (a)
225; (b) $100
