Sarah, Pamela and Ivory had lollipops in the ratio of 11 : 7 : 3. After Sarah gave 64 lollipops to Pamela and Ivory, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Sarah |
Pamela |
Ivory |
Total |
| Before |
11 u |
7 u |
3 u |
21 u |
| Change |
- 64 |
+ 64 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of lollipops
= 11 u + 7 u + 3 u
= 21 u
Number of lollipops that each had in the end
= 21 u ÷ 3
= 7 u
Number of lollipops that Sarah gave to Pamela and Ivory
= 11 u - 7 u
= 4 u
4 u = 64
1 u = 64 ÷ 4 = 16
Total number of lollipops
= 21 u
= 21 x 16
= 336
Answer(s): 336
