Charlie, Bryan and Adam have $1160.
After Charlie spends
35 of his money,
Bryan spends
56 of his money and
Adam spends
17 of his money,
they have equal amount of money left.
Find the total amount that the 3 children spend.
|
Charlie |
Bryan |
Adam |
Before |
5 x 3 = 15 u |
6 x 6 = 36 u |
7 x 1 = 7 u |
Change |
- 3 x 3 = - 9 u |
- 5 x 6 = - 30 u |
- 1 x 1 = - 1 u |
After |
2 x 3 = 6 u |
1 x 6 = 6 u |
6 x 1 = 6 u |
The lowest common multiple of 2, 1 and 6 is 6.
Fraction of the amount left after Charlie spends his money
= 1 -
35 =
25 Fraction of the amount left after Bryan spends his money
= 1 -
56 =
16 Fraction of the amount left after Adam spends his money
= 1 -
17 =
67 Make the numerators the same.
2 x 35 x 3 of Charlie's amount =
1 x 66 x 6 of Bryan's amount =
6 x 17 x 1 of Adam's amount
615 of Charlie's amount =
636 of Bryan's amount =
67 of Adam's amount
Total amount that they have at first
= 15 u + 36 u + 7 u
= 58 u
58 u = 1160
1 u = 1160 ÷ 58 = 20
Amount that Charlie spends
= 15 u - 6 u
= 9 u
Amount that Bryan spends
= 36 u - 6 u
= 30 u
Amount that Adam spends
= 7 u - 6 u
= 1 u
Amount that they spend
= 9 u + 30 u + 1 u
= 40 u
= 40 x 20
= $800
Answer(s): $800