Wendy had 20 less jelly beans than Gwen. Gwen used
45 of her jelly beans and Wendy used
45 of her jelly beans. In the end, Gwen had 3 times as much as Wendy. Find the number of jelly beans that Gwen had at first.
| |
Gwen |
Wendy |
Comparing Gwen
and Parry at first |
|
20 less |
| Before |
5x3 =
15 u |
5 u |
| Change |
- 4x3 =
- 12 u |
- 4 u |
| After |
1x3 =
3 u |
1 u |
Comparing Gwen
and Parry in the end |
3 u |
1 u |
The number of jelly beans that Gwen had in the end is repeated. Make the number of jelly beans that Gwen had in the end the same. LCM of 1 and 3 is 3.
Number of jelly beans that Wendy had less than Gwen
= 15 u - 5 u
= 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
Number of jelly beans that Gwen had at first
= 15 u
= 15 x 2
= 30
Answer(s): 30
