Erika has 3 times as many shortbreads as Gillian. The total number of Erika's and Gillian's shortbreads is 7 times of Gwen's. Erika and Gillian have 264 shortbreads more than Gwen's. How many less shortbreads does Gwen have than Erika?
| Erika |
Gillian |
Gwen |
| 3x7 |
1x7 |
|
| 7x4 |
1x4 |
| 21 u |
7 u |
4 u |
The total number of shortbreads that Erika and Gillian have is repeated. Make the total number of shortbreads that Erika and Gillian have the same. LCM of 4 and 7 is 28.
Total number of shortbreads that Erika and Gillian have
= 21 u + 7 u
= 28 u
Number of more shortbreads that Erika and Gillian have than Gwen
= 28 u - 4 u
= 24 u
24 u = 264
1 u = 264 ÷ 24 = 11
Number of less shortbreads that Gwen has than Erika
= 21 u - 4 u
= 17 u
= 17 x 11
= 187
Answer(s): 187
