Rachel had 50 more jelly beans than Xuan. Rachel used
34 of her jelly beans and Xuan used
12 of her jelly beans. In the end, Rachel had 3 times as much as Xuan. Find the number of jelly beans that Xuan had at first.
|
Rachel |
Xuan |
Comparing Rachel and Parry at first |
50 more |
|
Before |
4x3 = 12 u |
2 u |
Change |
- 3x3 = - 9 u |
- 1 u |
After |
1x3 = 3 u |
1 u |
Comparing Rachel and Parry in the end |
3 u |
1 u |
The number of jelly beans that Rachel had in the end is repeated. Make the number of jelly beans that Rachel had in the end the same. LCM of 1 and 3 is 3.
Number of jelly beans that Rachel had more than Xuan
= 12 u - 2 u
= 10 u
10 u = 50
1 u = 50 ÷ 10 = 5
Number of jelly beans that Xuan had at first
= 2 u
= 2 x 5
= 10
Answer(s): 10