Bryan, Adam and Charlie have $730.
After Bryan spends
23 of his money,
Adam spends
49 of his money and
Charlie spends
35 of his money,
they have equal amount of money left.
Find the total amount that the 3 children spend.
|
Bryan |
Adam |
Charlie |
Before |
3 x 10 = 30 u |
9 x 2 = 18 u |
5 x 5 = 25 u |
Change |
- 2 x 10 = - 20 u |
- 4 x 2 = - 8 u |
- 3 x 5 = - 15 u |
After |
1 x 10 = 10 u |
5 x 2 = 10 u |
2 x 5 = 10 u |
The lowest common multiple of 1, 5 and 2 is 10.
Fraction of the amount left after Bryan spends his money
= 1 -
23 =
13 Fraction of the amount left after Adam spends his money
= 1 -
49 =
59 Fraction of the amount left after Charlie spends his money
= 1 -
35 =
25 Make the numerators the same.
1 x 103 x 10 of Bryan's amount =
5 x 29 x 2 of Adam's amount =
2 x 55 x 5 of Charlie's amount
1030 of Bryan's amount =
1018 of Adam's amount =
1025 of Charlie's amount
Total amount that they have at first
= 30 u + 18 u + 25 u
= 73 u
73 u = 730
1 u = 730 ÷ 73 = 10
Amount that Bryan spends
= 30 u - 10 u
= 20 u
Amount that Adam spends
= 18 u - 10 u
= 8 u
Amount that Charlie spends
= 25 u - 10 u
= 15 u
Amount that they spend
= 20 u + 8 u + 15 u
= 43 u
= 43 x 10
= $430
Answer(s): $430