Hilda had 176 less jelly beans than Emma. Emma used
56 of her jelly beans and Hilda used
12 of her jelly beans. In the end, Emma had 3 times as much as Hilda. Find the number of jelly beans that Emma had at first.
| |
Emma |
Hilda |
Comparing Emma
and Parry at first |
|
176 less |
| Before |
6x3 =
18 u |
2 u |
| Change |
- 5x3 =
- 15 u |
- 1 u |
| After |
1x3 =
3 u |
1 u |
Comparing Emma
and Parry in the end |
3 u |
1 u |
The number of jelly beans that Emma had in the end is repeated. Make the number of jelly beans that Emma had in the end the same. LCM of 1 and 3 is 3.
Number of jelly beans that Hilda had less than Emma
= 18 u - 2 u
= 16 u
16 u = 176
1 u = 176 ÷ 16 = 11
Number of jelly beans that Emma had at first
= 18 u
= 18 x 11
= 198
Answer(s): 198
