Fiona had 33 more jelly beans than Diana. Fiona used
34 of her jelly beans and Diana used
45 of her jelly beans. In the end, Fiona had 4 times as much as Diana. Find the number of jelly beans that Diana had at first.
| |
Fiona |
Diana |
Comparing Fiona
and Parry at first |
33 more |
|
| Before |
4x4 =
16 u |
5 u |
| Change |
- 3x4 =
- 12 u |
- 4 u |
| After |
1x4 =
4 u |
1 u |
Comparing Fiona
and Parry in the end |
4 u |
1 u |
The number of jelly beans that Fiona had in the end is repeated. Make the number of jelly beans that Fiona had in the end the same. LCM of 1 and 4 is 4.
Number of jelly beans that Fiona had more than Diana
= 16 u - 5 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Number of jelly beans that Diana had at first
= 5 u
= 5 x 3
= 15
Answer(s): 15
