Adam has some money.
Adam spends $280 on some beads and
10% of the remainder on some marbles.
In the end, he has
78 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 |
$280 |
Marbles |
Left |
|
1 x 7 |
9 x 7 |
1 x 9 |
7 x 9 |
2 u |
7 u |
63 u |
(a)
10% =
10100 =
110 Remainder
Total : Spent : Left
10 : 1 : 10 - 1
10 : 1 : 9
910 of the remaining amount is the same as
78 of the total amount.
Amount that Adam has at first = 8 u
Amount that Adam spends on the beads
= 9 u - 7 u
= 2 u
2 u = 280
1 u = 280 ÷ 2 = 140
Amount that Adam has at first
= 8 u
= 8 x 140
= $1120
(b)
Amount that Adam spends on marbles
= 7 u
= 7 x 140
= $980
Amount that Adam spends more on marbles than on beads
= 980 - 280
= $700
Answer(s): (a) $1120; (b) $700