Hazel has 2 times as many wafers as Yoko. The total number of Hazel's and Yoko's wafers is 7 times of Gwen's. Hazel and Yoko have 54 wafers more than Gwen's. How many less wafers does Gwen have than Hazel?
| Hazel |
Yoko |
Gwen |
| 2x7 |
1x7 |
|
| 7x3 |
1x3 |
| 14 u |
7 u |
3 u |
The total number of wafers that Hazel and Yoko have is repeated. Make the total number of wafers that Hazel and Yoko have the same. LCM of 3 and 7 is 21.
Total number of wafers that Hazel and Yoko have
= 14 u + 7 u
= 21 u
Number of more wafers that Hazel and Yoko have than Gwen
= 21 u - 3 u
= 18 u
18 u = 54
1 u = 54 ÷ 18 = 3
Number of less wafers that Gwen has than Hazel
= 14 u - 3 u
= 11 u
= 11 x 3
= 33
Answer(s): 33
