Nick and Ian gave away the same number of erasers. Nick gave away
35 of his erasers while Ian gave
59 of his erasers away. Given that Nick had 22 erasers less than Ian at first, how many erasers did Nick have at first?
|
Nick |
Ian |
Before |
5x5 = 25 u |
9x3 = 27 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
After |
2x5 = 10 u |
4x3 = 12 u |
The number of erasers that Nick and Ian gave away is the same. Make the number of erasers that Nick and Ian gave away the same. LCM of 3 and 5 is 15.
Number of erasers that Nick had at first = 25 u
Number of erasers that Ian had at first = 27 u
Number of erasers that Nick had less than Ian at first
= 27 u - 25 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of erasers that Nick had at first
= 25 u
= 25 x 11
= 275
Answer(s): 275