Penelope, Gillian and Yoko had lollipops in the ratio of 11 : 5 : 2. After Penelope gave 75 lollipops to Gillian and Yoko, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Penelope |
Gillian |
Yoko |
Total |
| Before |
11 u |
5 u |
2 u |
18 u |
| Change |
- 75 |
+ 75 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of lollipops
= 11 u + 5 u + 2 u
= 18 u
Number of lollipops that each had in the end
= 18 u ÷ 3
= 6 u
Number of lollipops that Penelope gave to Gillian and Yoko
= 11 u - 6 u
= 5 u
5 u = 75
1 u = 75 ÷ 5 = 15
Total number of lollipops
= 18 u
= 18 x 15
= 270
Answer(s): 270
