Charlie, Adam and Bryan have $1035.
After Charlie spends
35 of his money,
Adam spends
27 of his money and
Bryan spends
23 of his money,
they have equal amount of money left.
Find the total amount that the 3 children spend.
|
Charlie |
Adam |
Bryan |
Before |
5 x 5 = 25 u |
7 x 2 = 14 u |
3 x 10 = 30 u |
Change |
- 3 x 5 = - 15 u |
- 2 x 2 = - 4 u |
- 2 x 10 = - 20 u |
After |
2 x 5 = 10 u |
5 x 2 = 10 u |
1 x 10 = 10 u |
The lowest common multiple of 2, 5 and 1 is 10.
Fraction of the amount left after Charlie spends his money
= 1 -
35 =
25 Fraction of the amount left after Adam spends his money
= 1 -
27 =
57 Fraction of the amount left after Bryan spends his money
= 1 -
23 =
13 Make the numerators the same.
2 x 55 x 5 of Charlie's amount =
5 x 27 x 2 of Adam's amount =
1 x 103 x 10 of Bryan's amount
1025 of Charlie's amount =
1014 of Adam's amount =
1030 of Bryan's amount
Total amount that they have at first
= 25 u + 14 u + 30 u
= 69 u
69 u = 1035
1 u = 1035 ÷ 69 = 15
Amount that Charlie spends
= 25 u - 10 u
= 15 u
Amount that Adam spends
= 14 u - 10 u
= 4 u
Amount that Bryan spends
= 30 u - 10 u
= 20 u
Amount that they spend
= 15 u + 4 u + 20 u
= 39 u
= 39 x 15
= $585
Answer(s): $585