Henry, Asher and Warren bought some puffs. After Henry ate
25 of his puffs, Asher ate
12 of his puffs and Warren ate 6 puffs, each of them had the same number of puffs left. Henry had 6 less puffs than Asher at first.
- How many puffs did Henry have at first?
- How many puffs did the 3 of them buy altogether?
|
Henry |
Asher |
Warren |
Before |
5 u |
2x3 = 6 u |
3 u + 6 |
Change |
- 2 u |
- 1x3 = - 3 u |
- 6 |
After |
3 u |
1x3 = 3 u |
3 u |
(a)
The number of puffs that Henry and Asher each had in the end is the same. Make the number of puffs that Henry and Asher each had in the end the same. LCM of 3 and 1 is 3.
Number of puffs that Henry had less than Asher at first
= 6 u - 5 u
= 1 u
1 u = 6
1 u = 6 ÷ 1 = 6
Number of puffs that Henry had at first
= 5 u
= 5 x 6
= 30
(b)
Total number of puffs that the 3 of them bought
= 5 u + 6 u + 3 u + 6
= 14 u + 6
= 14 x 6 + 6
= 84 + 6
= 90
Answer(s): (a) 30; (b) 90