Eric, Ken and Peter bought some puffs. After Eric ate
35 of his puffs, Ken ate
12 of his puffs and Peter ate 6 puffs, each of them had the same number of puffs left. Eric had -2 less puffs than Ken at first.
- How many puffs did Eric have at first?
- How many puffs did the 3 of them buy altogether?
| |
Eric |
Ken |
Peter |
Before |
5 u |
2x2 =
4 u |
2 u + 6 |
Change |
- 3 u |
- 1x2 =
- 2 u |
- 6 |
After |
2 u |
1x2 =
2 u |
2 u |
(a)
The number of puffs that Eric and Ken each had in the end is the same. Make the number of puffs that Eric and Ken each had in the end the same. LCM of 2 and 1 is 2.
Number of puffs that Eric had less than Ken at first
= 4 u - 5 u
= -1 u
-1 u = -2
1 u = -2 ÷ -1 = 2
Number of puffs that Eric had at first
= 5 u
= 5 x 2
= 10
(b)
Total number of puffs that the 3 of them bought
= 5 u + 4 u + 2 u + 6
= 11 u + 6
= 11 x 2 + 6
= 22 + 6
= 28
Answer(s): (a) 10; (b) 28
