Adam, Charlie and Bryan have $836.
After Adam spends
25 of his money,
Charlie spends
27 of his money and
Bryan spends
12 of his money,
they have equal amount of money left.
Find the total amount that the 3 children spend.
|
Adam |
Charlie |
Bryan |
Before |
5 x 5 = 25 u |
7 x 3 = 21 u |
2 x 15 = 30 u |
Change |
- 2 x 5 = - 10 u |
- 2 x 3 = - 6 u |
- 1 x 15 = - 15 u |
After |
3 x 5 = 15 u |
5 x 3 = 15 u |
1 x 15 = 15 u |
The lowest common multiple of 3, 5 and 1 is 15.
Fraction of the amount left after Adam spends his money
= 1 -
25 =
35 Fraction of the amount left after Charlie spends his money
= 1 -
27 =
57 Fraction of the amount left after Bryan spends his money
= 1 -
12 =
12 Make the numerators the same.
3 x 55 x 5 of Adam's amount =
5 x 37 x 3 of Charlie's amount =
1 x 152 x 15 of Bryan's amount
1525 of Adam's amount =
1521 of Charlie's amount =
1530 of Bryan's amount
Total amount that they have at first
= 25 u + 21 u + 30 u
= 76 u
76 u = 836
1 u = 836 ÷ 76 = 11
Amount that Adam spends
= 25 u - 15 u
= 10 u
Amount that Charlie spends
= 21 u - 15 u
= 6 u
Amount that Bryan spends
= 30 u - 15 u
= 15 u
Amount that they spend
= 10 u + 6 u + 15 u
= 31 u
= 31 x 11
= $341
Answer(s): $341