Gem has 5 times as many shortbreads as Cathy. The total number of Gem's and Cathy's shortbreads is 5 times of Gwen's. Gem and Cathy have 264 shortbreads more than Gwen's. How many more shortbreads does Gem have than Cathy?
| Gem |
Cathy |
Gwen |
| 5x5 |
1x5 |
|
| 5x6 |
1x6 |
| 25 u |
5 u |
6 u |
The total number of shortbreads that Gem and Cathy have is repeated. Make the total number of shortbreads that Gem and Cathy have the same. LCM of 6 and 5 is 30.
Total number of shortbreads that Gem and Cathy have
= 25 u + 5 u
= 30 u
Number of more shortbreads that Gem and Cathy have than Gwen
= 30 u - 6 u
= 24 u
24 u = 264
1 u = 264 ÷ 24 = 11
Number of more shortbreads that Gem has than Cathy
= 25 u - 5 u
= 20 u
= 20 x 11
= 220
Answer(s): 220
