Xandra spent 85% 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 stickers.
- What fraction of her money was left?
- Given that the marbles cost $79 more than the stickers, find the sum of money Xandra had at first.
(a)
85% =
85100 =
1720 Fraction of money left after buying the marbles = 1 -
1720 =
320 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 stickers = 1 -
12 =
12 Fraction of money left after buying the marbles
=
320 x
45 x
12=
350 (b)
Fraction of money spent on the stickers
=
320 x
45 x
12=
350Fraction of money spent on the marbles
=
1720=
85100Amount spent more on the marbles than the stickers
= 42.5 u - 3 u
= 39.5 u
39.5 u = 79
1 u = 79 ÷ 39.5 = 2
Amount that Xandra had at first
= 50 u
= 50 x 2
= $100
Answer(s): (a)
350; (b) $100
