Zane and Ivan had 90 puffs altogether. After Zane ate
15 of his puffs and Ivan ate 6 puffs, the number of puffs Ivan had left was four times the number of puffs Zane had left. How many more puffs did Ivan have than Zane at first?
| |
Zane |
Ivan |
Total |
| Before |
5 u |
16 u + 6 |
90 |
| Change |
- 1 u |
- 6 |
|
| After |
4 u |
|
|
Comparing Zane and
Ivan in the end |
1x4 =
4 u |
4x4 =
16 u |
|
The number of puffs that Zane had in the end is the same. Make the number of puffs that Zane had in the end the same. LCM of 4 and 1 is 4.
Total number of puffs at first
= 5 u + 16 u + 6
= 21 u + 6
21 u + 6 = 90
21 u = 90 - 6
21 u = 84
1 u = 84 ÷ 21 = 4
Number of puffs that Zane had at first
= 5 u
= 5 x 4
= 20
Number of puffs that Ivan had at first
= 90 - 20
= 70
Number of puffs that Ivan had more than Zane at first
= 70 - 20
= 50
Answer(s): 50
