Betty had 168 less jelly beans than Anna. Anna used
78 of her jelly beans and Betty used
23 of her jelly beans. In the end, Anna had 3 times as much as Betty. Find the number of jelly beans that Anna had at first.
| |
Anna |
Betty |
Comparing Anna
and Parry at first |
|
168 less |
| Before |
8x3 =
24 u |
3 u |
| Change |
- 7x3 =
- 21 u |
- 2 u |
| After |
1x3 =
3 u |
1 u |
Comparing Anna
and Parry in the end |
3 u |
1 u |
The number of jelly beans that Anna had in the end is repeated. Make the number of jelly beans that Anna had in the end the same. LCM of 1 and 3 is 3.
Number of jelly beans that Betty had less than Anna
= 24 u - 3 u
= 21 u
21 u = 168
1 u = 168 ÷ 21 = 8
Number of jelly beans that Anna had at first
= 24 u
= 24 x 8
= 192
Answer(s): 192
