Gillian has 5 times as many muffins as Cindy. The total number of Gillian's and Cindy's muffins is 2 times of Wendy's. Gillian and Cindy have 6 muffins more than Wendy's. How many more muffins does Gillian have than Cindy?
Gillian |
Cindy |
Wendy |
5x1 |
1x1 |
|
2x3 |
1x3 |
5 u |
1 u |
3 u |
The total number of muffins that Gillian and Cindy have is repeated. Make the total number of muffins that Gillian and Cindy have the same. LCM of 6 and 2 is 6.
Total number of muffins that Gillian and Cindy have
= 5 u + 1 u
= 6 u
Number of more muffins that Gillian and Cindy have than Wendy
= 6 u - 3 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of more muffins that Gillian has than Cindy
= 5 u - 1 u
= 4 u
= 4 x 2
= 8
Answer(s): 8