Risa, Shiyun and Diana had lollipops in the ratio of 10 : 5 : 3. After Risa gave 36 lollipops to Shiyun and Diana, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Risa |
Shiyun |
Diana |
Total |
| Before |
10 u |
5 u |
3 u |
18 u |
| Change |
- 36 |
+ 36 |
|
| After |
6 u |
6 u |
6 u |
18 u |
Total number of lollipops
= 10 u + 5 u + 3 u
= 18 u
Number of lollipops that each had in the end
= 18 u ÷ 3
= 6 u
Number of lollipops that Risa gave to Shiyun and Diana
= 10 u - 6 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Total number of lollipops
= 18 u
= 18 x 9
= 162
Answer(s): 162
