Nick and Japheth had the same number of pens. Nick gave away
34 of his pens while Japheth gave away
35 of his pens. Given that Nick gave away 12 pens more than Japheth, how many pens did Nick have at first?
| |
Nick's pens |
Japheth's pens |
| Before |
4x5 =
20 u |
5x4 =
20 u |
| Change |
- 3x5 =
- 15 u |
- 3x4 =
- 12 u |
| After |
1x5 =
5 u |
2x4 =
8 u |
The number of cards that Nick and Japheth each had at first is the same. Make the number of cards that Nick and Japheth each had at first the same. LCM of 4 and 5 is 20.
Number of pens that Nick gave away more than Japheth
= 15 u - 12 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Number of pens that Nick had at first
= 20 u
= 20 x 4
= 80
Answer(s): 80
