Rachel, Erika and Jean had lollipops in the ratio of 12 : 5 : 4. After Rachel gave 40 lollipops to Erika and Jean, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Rachel |
Erika |
Jean |
Total |
| Before |
12 u |
5 u |
4 u |
21 u |
| Change |
- 40 |
+ 40 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of lollipops
= 12 u + 5 u + 4 u
= 21 u
Number of lollipops that each had in the end
= 21 u ÷ 3
= 7 u
Number of lollipops that Rachel gave to Erika and Jean
= 12 u - 7 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Total number of lollipops
= 21 u
= 21 x 8
= 168
Answer(s): 168
