Adam has some money.
Adam spends $100 on some marbles and
10% of the remainder on some beads.
In the end, he has
56 of the total amount left.
- How much does Adam have at first?
- How much more does Adam spend on beads than on marbles?
Marbles |
Remainder |
$100 |
Beads |
Left |
|
1 x 5 |
9 x 5 |
1 x 9 |
5 x 9 |
4 u |
5 u |
45 u |
(a)
10% =
10100 =
110 Remainder
Total : Spent : Left
10 : 1 : 10 - 1
10 : 1 : 9
910 of the remaining amount is the same as
56 of the total amount.
Amount that Adam has at first = 6 u
Amount that Adam spends on the marbles
= 9 u - 5 u
= 4 u
4 u = 100
1 u = 100 ÷ 4 = 25
Amount that Adam has at first
= 6 u
= 6 x 25
= $150
(b)
Amount that Adam spends on beads
= 5 u
= 5 x 25
= $125
Amount that Adam spends more on beads than on marbles
= 125 - 100
= $25
Answer(s): (a) $150; (b) $25