Dylan and Ivan received a total of $323. After Dylan spent
78 of his money and Ivan spent
23 of his money, Ivan had 3 times as much money as Dylan. How much money did Ivan have at first?
|
Dylan |
Ivan |
Total |
Before |
8 u |
3x3 = 9 u |
17 u |
Change |
- 7 u |
- 2x3 = - 6 u |
|
After |
1 u |
1x3 = 3 u |
|
Comparing Dylan and Ivan in the end |
1 u |
3 u |
|
The amount that Ivan had in the end is the same. Make the amount that Ivan had in the end the same. LCM of 1 and 3 is 3.
Total amount that Ivan and Dylan had at first
= 8 u + 9 u
= 17 u
17 u = 323
1 u = 323 ÷ 17 = 19
Amount that Ivan had at first
= 9 u
= 9 x 19
= $171
Answer(s): $171