Adam has some money.
Adam spends $200 on some marbles and
10% of the remainder on some beads.
In the end, he has
78 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 |
$200 |
Beads |
Left |
|
1 x 7 |
9 x 7 |
1 x 9 |
7 x 9 |
2 u |
7 u |
63 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
78 of the total amount.
Amount that Adam has at first = 8 u
Amount that Adam spends on the marbles
= 9 u - 7 u
= 2 u
2 u = 200
1 u = 200 ÷ 2 = 100
Amount that Adam has at first
= 8 u
= 8 x 100
= $800
(b)
Amount that Adam spends on beads
= 7 u
= 7 x 100
= $700
Amount that Adam spends more on beads than on marbles
= 700 - 200
= $500
Answer(s): (a) $800; (b) $500