Betty has 6 times as many muffins as Kimberly. The total number of Betty's and Kimberly's muffins is 6 times of Yen's. Betty and Kimberly have 140 muffins more than Yen's. How many less muffins does Yen have than Betty?
| Betty |
Kimberly |
Yen |
| 6x6 |
1x6 |
|
| 6x7 |
1x7 |
| 36 u |
6 u |
7 u |
The total number of muffins that Betty and Kimberly have is repeated. Make the total number of muffins that Betty and Kimberly have the same. LCM of 7 and 6 is 42.
Total number of muffins that Betty and Kimberly have
= 36 u + 6 u
= 42 u
Number of more muffins that Betty and Kimberly have than Yen
= 42 u - 7 u
= 35 u
35 u = 140
1 u = 140 ÷ 35 = 4
Number of less muffins that Yen has than Betty
= 36 u - 7 u
= 29 u
= 29 x 4
= 116
Answer(s): 116
