Fiona spent 60% of her money on a number of coins. She spent 25% of the remaining money on a few stamps and 50% of what was left on a number of pens.
- What fraction of her money was left?
- Given that the coins cost $45 more than the pens, find the sum of money Fiona had at first.
(a)
60% =
60100 =
35 Fraction of money left after buying the coins = 1 -
35 =
25 25% =
25100 =
14 Fraction of remaining money after buying the stamps = 1 -
14 =
34 50% =
50100 =
12 Fraction of what is left after buying the pens = 1 -
12 =
12 Fraction of money left after buying the coins
=
25 x
34 x
12=
320 (b)
Fraction of money spent on the pens
=
25 x
34 x
12=
320Fraction of money spent on the coins
=
35=
1220Amount spent more on the coins than the pens
= 12 u - 3 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Amount that Fiona had at first
= 20 u
= 20 x 5
= $100
Answer(s): (a)
320; (b) $100