Zoe had 54 more jelly beans than Yoko. Zoe used
45 of her jelly beans and Yoko used
34 of her jelly beans. In the end, Zoe had 2 times as much as Yoko. Find the number of jelly beans that Yoko had at first.
|
Zoe |
Yoko |
Comparing Zoe and Parry at first |
54 more |
|
Before |
5x2 = 10 u |
4 u |
Change |
- 4x2 = - 8 u |
- 3 u |
After |
1x2 = 2 u |
1 u |
Comparing Zoe and Parry in the end |
2 u |
1 u |
The number of jelly beans that Zoe had in the end is repeated. Make the number of jelly beans that Zoe had in the end the same. LCM of 1 and 2 is 2.
Number of jelly beans that Zoe had more than Yoko
= 10 u - 4 u
= 6 u
6 u = 54
1 u = 54 ÷ 6 = 9
Number of jelly beans that Yoko had at first
= 4 u
= 4 x 9
= 36
Answer(s): 36