Jack and Perry had 83 puffs altogether. After Jack ate
14 of his puffs and Perry ate 7 puffs, the number of puffs Perry had left was five times the number of puffs Jack had left. How many more puffs did Perry have than Jack at first?
| |
Jack |
Perry |
Total |
| Before |
4 u |
15 u + 7 |
83 |
| Change |
- 1 u |
- 7 |
|
| After |
3 u |
|
|
Comparing Jack and
Perry in the end |
1x3 =
3 u |
5x3 =
15 u |
|
The number of puffs that Jack had in the end is the same. Make the number of puffs that Jack had in the end the same. LCM of 3 and 1 is 3.
Total number of puffs at first
= 4 u + 15 u + 7
= 19 u + 7
19 u + 7 = 83
19 u = 83 - 7
19 u = 76
1 u = 76 ÷ 19 = 4
Number of puffs that Jack had at first
= 4 u
= 4 x 4
= 16
Number of puffs that Perry had at first
= 83 - 16
= 67
Number of puffs that Perry had more than Jack at first
= 67 - 16
= 51
Answer(s): 51
