Wendy has 5 times as many cupcakes as Xandra. The total number of Wendy's and Xandra's cupcakes is 4 times of Opal's. Wendy and Xandra have 54 cupcakes more than Opal's. How many less cupcakes does Opal have than Wendy?
| Wendy |
Xandra |
Opal |
| 5x2 |
1x2 |
|
| 4x3 |
1x3 |
| 10 u |
2 u |
3 u |
The total number of cupcakes that Wendy and Xandra have is repeated. Make the total number of cupcakes that Wendy and Xandra have the same. LCM of 6 and 4 is 12.
Total number of cupcakes that Wendy and Xandra have
= 10 u + 2 u
= 12 u
Number of more cupcakes that Wendy and Xandra have than Opal
= 12 u - 3 u
= 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Number of less cupcakes that Opal has than Wendy
= 10 u - 3 u
= 7 u
= 7 x 6
= 42
Answer(s): 42
