Bryan, Charlie and Adam have $980.
After Bryan spends
23 of his money,
Charlie spends
57 of his money and
Adam spends
25 of his money,
they have equal amount of money left.
Find the total amount that the 3 children spend.
|
Bryan |
Charlie |
Adam |
Before |
3 x 6 = 18 u |
7 x 3 = 21 u |
5 x 2 = 10 u |
Change |
- 2 x 6 = - 12 u |
- 5 x 3 = - 15 u |
- 2 x 2 = - 4 u |
After |
1 x 6 = 6 u |
2 x 3 = 6 u |
3 x 2 = 6 u |
The lowest common multiple of 1, 2 and 3 is 6.
Fraction of the amount left after Bryan spends his money
= 1 -
23 =
13 Fraction of the amount left after Charlie spends his money
= 1 -
57 =
27 Fraction of the amount left after Adam spends his money
= 1 -
25 =
35 Make the numerators the same.
1 x 63 x 6 of Bryan's amount =
2 x 37 x 3 of Charlie's amount =
3 x 25 x 2 of Adam's amount
618 of Bryan's amount =
621 of Charlie's amount =
610 of Adam's amount
Total amount that they have at first
= 18 u + 21 u + 10 u
= 49 u
49 u = 980
1 u = 980 ÷ 49 = 20
Amount that Bryan spends
= 18 u - 6 u
= 12 u
Amount that Charlie spends
= 21 u - 6 u
= 15 u
Amount that Adam spends
= 10 u - 6 u
= 4 u
Amount that they spend
= 12 u + 15 u + 4 u
= 31 u
= 31 x 20
= $620
Answer(s): $620