Natalie spent 80% of her money on a number of buttons. She spent 20% of the remaining money on a few stickers and 50% of what was left on a number of marbles.
- What fraction of her money was left?
- Given that the buttons cost $54 more than the marbles, find the sum of money Natalie 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 stickers = 1 -
15 =
45 50% =
50100 =
12 Fraction of what is left after buying the marbles = 1 -
12 =
12 Fraction of money left after buying the buttons
=
15 x
45 x
12=
225 (b)
Fraction of money spent on the marbles
=
15 x
45 x
12=
225Fraction of money spent on the buttons
=
45=
2025Amount spent more on the buttons than the marbles
= 20 u - 2 u
= 18 u
18 u = 54
1 u = 54 ÷ 18 = 3
Amount that Natalie had at first
= 25 u
= 25 x 3
= $75
Answer(s): (a)
225; (b) $75
