Yen has 4 times as many muffins as Lucy. The total number of Yen's and Lucy's muffins is 7 times of Raeann's. Yen and Lucy have 330 muffins more than Raeann's. How many more muffins does Yen have than Lucy?
| Yen |
Lucy |
Raeann |
| 4x7 |
1x7 |
|
| 7x5 |
1x5 |
| 28 u |
7 u |
5 u |
The total number of muffins that Yen and Lucy have is repeated. Make the total number of muffins that Yen and Lucy have the same. LCM of 5 and 7 is 35.
Total number of muffins that Yen and Lucy have
= 28 u + 7 u
= 35 u
Number of more muffins that Yen and Lucy have than Raeann
= 35 u - 5 u
= 30 u
30 u = 330
1 u = 330 ÷ 30 = 11
Number of more muffins that Yen has than Lucy
= 28 u - 7 u
= 21 u
= 21 x 11
= 231
Answer(s): 231
