Owen and Julian had $380 altogether. After Owen spent
14 of his money and Julian spent
56 of his money, Owen was left with five times as much money as Julian. How much money did Julian have at first?
| |
Owen |
Julian |
Total |
| Before |
4x5 =
20 u |
6x3 =
18 u |
$380 |
| Change |
- 1x5 =
- 5 u |
- 5x3 =
- 15 u |
|
| After |
3x5 =
15 u |
1x3 =
3 u |
|
Comparing Owen
and Julian in the end |
5x3 =
15 u |
1x3 =
3 u |
|
The amount that Owen had in the end is repeated. Make the amount that Owen had in the end the same. LCM of 3 and 5 is 15.
Total amount that Owen and Julian had at first
= 20 u + 18 u
= 38 u
38 u = 380
1 u = 380 ÷ 38 = 10
Amount that Julian had at first
= 18 u
= 18 x 10
= $180
Answer(s): $180
