Penelope had 224 more jelly beans than Emma. Penelope used
78 of her jelly beans and Emma used
34 of her jelly beans. In the end, Penelope had 4 times as much as Emma. Find the number of jelly beans that Emma had at first.
| |
Penelope |
Emma |
Comparing Penelope
and Parry at first |
224 more |
|
| Before |
8x4 =
32 u |
4 u |
| Change |
- 7x4 =
- 28 u |
- 3 u |
| After |
1x4 =
4 u |
1 u |
Comparing Penelope
and Parry in the end |
4 u |
1 u |
The number of jelly beans that Penelope had in the end is repeated. Make the number of jelly beans that Penelope had in the end the same. LCM of 1 and 4 is 4.
Number of jelly beans that Penelope had more than Emma
= 32 u - 4 u
= 28 u
28 u = 224
1 u = 224 ÷ 28 = 8
Number of jelly beans that Emma had at first
= 4 u
= 4 x 8
= 32
Answer(s): 32
