Yoko, Dana and Mary had sweets in the ratio of 9 : 2 : 4. After Yoko gave 36 sweets to Dana and Mary, the three of them had the same number of sweets. Find the total number of sweets the children had.
| |
Yoko |
Dana |
Mary |
Total |
| Before |
9 u |
2 u |
4 u |
15 u |
| Change |
- 36 |
+ 36 |
|
| After |
5 u |
5 u |
5 u |
15 u |
Total number of sweets
= 9 u + 2 u + 4 u
= 15 u
Number of sweets that each had in the end
= 15 u ÷ 3
= 5 u
Number of sweets that Yoko gave to Dana and Mary
= 9 u - 5 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Total number of sweets
= 15 u
= 15 x 9
= 135
Answer(s): 135
