Mark and Julian had $1326 altogether. After Mark spent
16 of his money and Julian spent
23 of his money, Mark was left with four times as much money as Julian. How much money did Julian have at first?
|
Mark |
Julian |
Total |
Before |
6x4 = 24 u |
3x5 = 15 u |
$1326 |
Change |
- 1x4 = - 4 u |
- 2x5 = - 10 u |
|
After |
5x4 = 20 u |
1x5 = 5 u |
|
Comparing Mark and Julian in the end |
4x5 = 20 u |
1x5 = 5 u |
|
The amount that Mark had in the end is repeated. Make the amount that Mark had in the end the same. LCM of 5 and 4 is 20.
Total amount that Mark and Julian had at first
= 24 u + 15 u
= 39 u
39 u = 1326
1 u = 1326 ÷ 39 = 34
Amount that Julian had at first
= 15 u
= 15 x 34
= $510
Answer(s): $510