Esther has 2 times as many wafers as Winnie. The total number of Esther's and Winnie's wafers is 7 times of Yoko's. Esther and Winnie have 36 wafers more than Yoko's. How many more wafers does Esther have than Winnie?
| Esther |
Winnie |
Yoko |
| 2x7 |
1x7 |
|
| 7x3 |
1x3 |
| 14 u |
7 u |
3 u |
The total number of wafers that Esther and Winnie have is repeated. Make the total number of wafers that Esther and Winnie have the same. LCM of 3 and 7 is 21.
Total number of wafers that Esther and Winnie have
= 14 u + 7 u
= 21 u
Number of more wafers that Esther and Winnie have than Yoko
= 21 u - 3 u
= 18 u
18 u = 36
1 u = 36 ÷ 18 = 2
Number of more wafers that Esther has than Winnie
= 14 u - 7 u
= 7 u
= 7 x 2
= 14
Answer(s): 14
