Warren and Jenson gave away the same number of marbles. Warren gave away
34 of his marbles while Jenson gave
49 of his marbles away. Given that Warren had 22 marbles less than Jenson at first, how many marbles did Warren have at first?
|
Warren |
Jenson |
Before |
4x4 = 16 u |
9x3 = 27 u |
Change |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
After |
1x4 = 4 u |
5x3 = 15 u |
The number of marbles that Warren and Jenson gave away is the same. Make the number of marbles that Warren and Jenson gave away the same. LCM of 3 and 4 is 12.
Number of marbles that Warren had at first = 16 u
Number of marbles that Jenson had at first = 27 u
Number of marbles that Warren had less than Jenson at first
= 27 u - 16 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of marbles that Warren had at first
= 16 u
= 16 x 2
= 32
Answer(s): 32