Zara had 42 less jelly beans than Zoe. Zoe used
34 of her jelly beans and Zara used
12 of her jelly beans. In the end, Zoe had 2 times as much as Zara. Find the number of jelly beans that Zoe had at first.
|
Zoe |
Zara |
Comparing Zoe and Parry at first |
|
42 less |
Before |
4x2 = 8 u |
2 u |
Change |
- 3x2 = - 6 u |
- 1 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 Zara had less than Zoe
= 8 u - 2 u
= 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
Number of jelly beans that Zoe had at first
= 8 u
= 8 x 7
= 56
Answer(s): 56