Emma, Diana and Gabby had sweets in the ratio of 12 : 2 : 1. After Emma gave 28 sweets to Diana and Gabby, the three of them had the same number of sweets. Find the total number of sweets the children had.
| |
Emma |
Diana |
Gabby |
Total |
| Before |
12 u |
2 u |
1 u |
15 u |
| Change |
- 28 |
+ 28 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of sweets
= 12 u + 2 u + 1 u
= 15 u
Number of sweets that each had in the end
= 15 u ÷ 3
= 5 u
Number of sweets that Emma gave to Diana and Gabby
= 12 u - 5 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Total number of sweets
= 15 u
= 15 x 4
= 60
Answer(s): 60
