Winnie, Sarah and Diana had sweets in the ratio of 11 : 6 : 4. After Winnie gave 52 sweets to Sarah and Diana, the three of them had the same number of sweets. Find the total number of sweets the children had.
|
Winnie |
Sarah |
Diana |
Total |
Before |
11 u |
6 u |
4 u |
21 u |
Change |
- 52 |
+ 52 |
|
After |
7 u |
7 u |
7 u |
21 u |
Total number of sweets
= 11 u + 6 u + 4 u
= 21 u
Number of sweets that each had in the end
= 21 u ÷ 3
= 7 u
Number of sweets that Winnie gave to Sarah and Diana
= 11 u - 7 u
= 4 u
4 u = 52
1 u = 52 ÷ 4 = 13
Total number of sweets
= 21 u
= 21 x 13
= 273
Answer(s): 273