Wendy has 6 times as many cookies as Rachel. The total number of Wendy's and Rachel's cookies is 6 times of Lynn's. Wendy and Rachel have 70 cookies more than Lynn's. How many less cookies does Lynn have than Wendy?
| Wendy |
Rachel |
Lynn |
| 6x6 |
1x6 |
|
| 6x7 |
1x7 |
| 36 u |
6 u |
7 u |
The total number of cookies that Wendy and Rachel have is repeated. Make the total number of cookies that Wendy and Rachel have the same. LCM of 7 and 6 is 42.
Total number of cookies that Wendy and Rachel have
= 36 u + 6 u
= 42 u
Number of more cookies that Wendy and Rachel have than Lynn
= 42 u - 7 u
= 35 u
35 u = 70
1 u = 70 ÷ 35 = 2
Number of less cookies that Lynn has than Wendy
= 36 u - 7 u
= 29 u
= 29 x 2
= 58
Answer(s): 58
