Tom and Bobby gave away the same number of erasers. Tom gave away
35 of his erasers while Bobby gave
59 of his erasers away. Given that Tom had 14 erasers less than Bobby at first, how many erasers did Tom have at first?
|
Tom |
Bobby |
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 Tom and Bobby gave away is the same. Make the number of erasers that Tom and Bobby gave away the same. LCM of 3 and 5 is 15.
Number of erasers that Tom had at first = 25 u
Number of erasers that Bobby had at first = 27 u
Number of erasers that Tom had less than Bobby at first
= 27 u - 25 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of erasers that Tom had at first
= 25 u
= 25 x 7
= 175
Answer(s): 175