Adam has some money.
Adam spends $170 on some marbles and
20% of the remainder on some beads.
In the end, he has
710 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 |
$170 |
Beads |
Left |
|
1 x 7 |
4 x 7 |
3 x 4 |
7 x 4 |
5 u |
7 u |
28 u |
(a)
20% =
20100 =
15 Remainder
Total : Spent : Left
5 : 1 : 5 - 1
5 : 1 : 4
45 of the remaining amount is the same as
710 of the total amount.
Amount that Adam has at first = 10 u
Amount that Adam spends on the marbles
= 12 u - 7 u
= 5 u
5 u = 170
1 u = 170 ÷ 5 = 34
Amount that Adam has at first
= 10 u
= 10 x 34
= $340
(b)
Amount that Adam spends on beads
= 7 u
= 7 x 34
= $238
Amount that Adam spends more on beads than on marbles
= 238 - 170
= $68
Answer(s): (a) $340; (b) $68