Adam has some money.
Adam spends $170 on some marbles and
50% of the remainder on some beads.
In the end, he has
25 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 2 |
1 x 2 |
3 x 1 |
2 x 1 |
1 u |
2 u |
2 u |
(a)
50% =
50100 =
12 Remainder
Total : Spent : Left
2 : 1 : 2 - 1
2 : 1 : 1
12 of the remaining amount is the same as
25 of the total amount.
Amount that Adam has at first = 5 u
Amount that Adam spends on the marbles
= 3 u - 2 u
= 1 u
1 u = 170
Amount that Adam has at first
= 5 u
= 5 x 170
= $850
(b)
Amount that Adam spends on beads
= 2 u
= 2 x 170
= $340
Amount that Adam spends more on beads than on marbles
= 340 - 170
= $170
Answer(s): (a) $850; (b) $170