Natalie, Fiona and Penelope had lollipops in the ratio of 11 : 3 : 4. After Natalie gave 15 lollipops to Fiona and Penelope, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Natalie |
Fiona |
Penelope |
Total |
| Before |
11 u |
3 u |
4 u |
18 u |
| Change |
- 15 |
+ 15 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of lollipops
= 11 u + 3 u + 4 u
= 18 u
Number of lollipops that each had in the end
= 18 u ÷ 3
= 6 u
Number of lollipops that Natalie gave to Fiona and Penelope
= 11 u - 6 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total number of lollipops
= 18 u
= 18 x 3
= 54
Answer(s): 54
