Adam has some money.
Adam spends $190 on some marbles and
30% of the remainder on some beads.
In the end, he has
35 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 |
$190 |
Beads |
Left |
|
3 x 3 |
7 x 3 |
2 x 7 |
3 x 7 |
5 u |
9 u |
21 u |
(a)
30% =
30100 =
310 Remainder
Total : Spent : Left
10 : 3 : 10 - 3
10 : 3 : 7
710 of the remaining amount is the same as
35 of the total amount.
Amount that Adam has at first = 5 u
Amount that Adam spends on the marbles
= 14 u - 9 u
= 5 u
5 u = 190
1 u = 190 ÷ 5 = 38
Amount that Adam has at first
= 5 u
= 5 x 38
= $190
(b)
Amount that Adam spends on beads
= 9 u
= 9 x 38
= $342
Amount that Adam spends more on beads than on marbles
= 342 - 190
= $152
Answer(s): (a) $190; (b) $152