Shannon had 171 less jelly beans than Cathy. Cathy used
78 of her jelly beans and Shannon used
45 of her jelly beans. In the end, Cathy had 3 times as much as Shannon. Find the number of jelly beans that Cathy had at first.
| |
Cathy |
Shannon |
Comparing Cathy
and Parry at first |
|
171 less |
| Before |
8x3 =
24 u |
5 u |
| Change |
- 7x3 =
- 21 u |
- 4 u |
| After |
1x3 =
3 u |
1 u |
Comparing Cathy
and Parry in the end |
3 u |
1 u |
The number of jelly beans that Cathy had in the end is repeated. Make the number of jelly beans that Cathy had in the end the same. LCM of 1 and 3 is 3.
Number of jelly beans that Shannon had less than Cathy
= 24 u - 5 u
= 19 u
19 u = 171
1 u = 171 ÷ 19 = 9
Number of jelly beans that Cathy had at first
= 24 u
= 24 x 9
= 216
Answer(s): 216
