Andy and Fabian gave away the same number of erasers. Andy gave away
34 of his erasers while Fabian gave
49 of his erasers away. Given that Andy had 11 erasers less than Fabian at first, how many erasers did Andy have at first?
|
Andy |
Fabian |
Before |
4x4 = 16 u |
9x3 = 27 u |
Change |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
After |
1x4 = 4 u |
5x3 = 15 u |
The number of erasers that Andy and Fabian gave away is the same. Make the number of erasers that Andy and Fabian gave away the same. LCM of 3 and 4 is 12.
Number of erasers that Andy had at first = 16 u
Number of erasers that Fabian had at first = 27 u
Number of erasers that Andy had less than Fabian at first
= 27 u - 16 u
= 11 u
11 u = 11
1 u = 11 ÷ 11 = 1
Number of erasers that Andy had at first
= 16 u
= 16 x 1
= 16
Answer(s): 16