Charlie, Adam and Bryan have $420.
After Charlie spends
56 of his money,
Adam spends
13 of his money and
Bryan spends
15 of his money,
they have equal amount of money left.
Find the total amount that the 3 children spend.
|
Charlie |
Adam |
Bryan |
Before |
6 x 4 = 24 u |
3 x 2 = 6 u |
5 x 1 = 5 u |
Change |
- 5 x 4 = - 20 u |
- 1 x 2 = - 2 u |
- 1 x 1 = - 1 u |
After |
1 x 4 = 4 u |
2 x 2 = 4 u |
4 x 1 = 4 u |
The lowest common multiple of 1, 2 and 4 is 4.
Fraction of the amount left after Charlie spends his money
= 1 -
56 =
16 Fraction of the amount left after Adam spends his money
= 1 -
13 =
23 Fraction of the amount left after Bryan spends his money
= 1 -
15 =
45 Make the numerators the same.
1 x 46 x 4 of Charlie's amount =
2 x 23 x 2 of Adam's amount =
4 x 15 x 1 of Bryan's amount
424 of Charlie's amount =
46 of Adam's amount =
45 of Bryan's amount
Total amount that they have at first
= 24 u + 6 u + 5 u
= 35 u
35 u = 420
1 u = 420 ÷ 35 = 12
Amount that Charlie spends
= 24 u - 4 u
= 20 u
Amount that Adam spends
= 6 u - 4 u
= 2 u
Amount that Bryan spends
= 5 u - 4 u
= 1 u
Amount that they spend
= 20 u + 2 u + 1 u
= 23 u
= 23 x 12
= $276
Answer(s): $276