Jean 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 buttons.
- What fraction of her money was left?
- Given that the coins cost $54 more than the buttons, find the sum of money Jean 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 buttons = 1 -
12 =
12 Fraction of money left after buying the coins
=
25 x
34 x
12=
320 (b)
Fraction of money spent on the buttons
=
25 x
34 x
12=
320Fraction of money spent on the coins
=
35=
1220Amount spent more on the coins than the buttons
= 12 u - 3 u
= 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Amount that Jean had at first
= 20 u
= 20 x 6
= $120
Answer(s): (a)
320; (b) $120
