Jenson and Riordan gave away the same number of erasers. Jenson gave away
35 of his erasers while Riordan gave
49 of his erasers away. Given that Jenson had 21 erasers less than Riordan at first, how many erasers did Jenson have at first?
|
Jenson |
Riordan |
Before |
5x4 = 20 u |
9x3 = 27 u |
Change |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
After |
2x4 = 8 u |
5x3 = 15 u |
The number of erasers that Jenson and Riordan gave away is the same. Make the number of erasers that Jenson and Riordan gave away the same. LCM of 3 and 4 is 12.
Number of erasers that Jenson had at first = 20 u
Number of erasers that Riordan had at first = 27 u
Number of erasers that Jenson had less than Riordan at first
= 27 u - 20 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Number of erasers that Jenson had at first
= 20 u
= 20 x 3
= 60
Answer(s): 60