Adam has some money.
Adam spends $230 on some marbles and
50% of the remainder on some beads.
In the end, he has
37 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 |
$230 |
Beads |
Left |
|
1 x 3 |
1 x 3 |
4 x 1 |
3 x 1 |
1 u |
3 u |
3 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
37 of the total amount.
Amount that Adam has at first = 7 u
Amount that Adam spends on the marbles
= 4 u - 3 u
= 1 u
1 u = 230
Amount that Adam has at first
= 7 u
= 7 x 230
= $1610
(b)
Amount that Adam spends on beads
= 3 u
= 3 x 230
= $690
Amount that Adam spends more on beads than on marbles
= 690 - 230
= $460
Answer(s): (a) $1610; (b) $460