Sarah, Opal and Penelope had lollipops in the ratio of 9 : 4 : 2. After Sarah gave 68 lollipops to Opal and Penelope, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Sarah |
Opal |
Penelope |
Total |
| Before |
9 u |
4 u |
2 u |
15 u |
| Change |
- 68 |
+ 68 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of lollipops
= 9 u + 4 u + 2 u
= 15 u
Number of lollipops that each had in the end
= 15 u ÷ 3
= 5 u
Number of lollipops that Sarah gave to Opal and Penelope
= 9 u - 5 u
= 4 u
4 u = 68
1 u = 68 ÷ 4 = 17
Total number of lollipops
= 15 u
= 15 x 17
= 255
Answer(s): 255
