Gabby has 5 times as many cookies as Zoe. The total number of Gabby's and Zoe's cookies is 5 times of Sabrina's. Gabby and Zoe have 72 cookies more than Sabrina's. How many less cookies does Sabrina have than Gabby?
Gabby |
Zoe |
Sabrina |
5x5 |
1x5 |
|
5x6 |
1x6 |
25 u |
5 u |
6 u |
The total number of cookies that Gabby and Zoe have is repeated. Make the total number of cookies that Gabby and Zoe have the same. LCM of 6 and 5 is 30.
Total number of cookies that Gabby and Zoe have
= 25 u + 5 u
= 30 u
Number of more cookies that Gabby and Zoe have than Sabrina
= 30 u - 6 u
= 24 u
24 u = 72
1 u = 72 ÷ 24 = 3
Number of less cookies that Sabrina has than Gabby
= 25 u - 6 u
= 19 u
= 19 x 3
= 57
Answer(s): 57