Adam has some money.
Adam spends $160 on some beads and
50% of the remainder on some marbles.
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 marbles than on beads?
Beads |
Remainder |
$160 |
Marbles |
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 beads
= 4 u - 3 u
= 1 u
1 u = 160
Amount that Adam has at first
= 7 u
= 7 x 160
= $1120
(b)
Amount that Adam spends on marbles
= 3 u
= 3 x 160
= $480
Amount that Adam spends more on marbles than on beads
= 480 - 160
= $320
Answer(s): (a) $1120; (b) $320