Fiona has 5 times as many cookies as Hazel. The total number of Fiona's and Hazel's cookies is 7 times of Jean's. Fiona and Hazel have 360 cookies more than Jean's. How many less cookies does Jean have than Fiona?
| Fiona |
Hazel |
Jean |
| 5x7 |
1x7 |
|
| 7x6 |
1x6 |
| 35 u |
7 u |
6 u |
The total number of cookies that Fiona and Hazel have is repeated. Make the total number of cookies that Fiona and Hazel have the same. LCM of 6 and 7 is 42.
Total number of cookies that Fiona and Hazel have
= 35 u + 7 u
= 42 u
Number of more cookies that Fiona and Hazel have than Jean
= 42 u - 6 u
= 36 u
36 u = 360
1 u = 360 ÷ 36 = 10
Number of less cookies that Jean has than Fiona
= 35 u - 6 u
= 29 u
= 29 x 10
= 290
Answer(s): 290
