Vanessa has 5 times as many cupcakes as Emily. The total number of Vanessa's and Emily's cupcakes is 5 times of Eva's. Vanessa and Emily have 96 cupcakes more than Eva's. How many less cupcakes does Eva have than Vanessa?
| Vanessa |
Emily |
Eva |
| 5x5 |
1x5 |
|
| 5x6 |
1x6 |
| 25 u |
5 u |
6 u |
The total number of cupcakes that Vanessa and Emily have is repeated. Make the total number of cupcakes that Vanessa and Emily have the same. LCM of 6 and 5 is 30.
Total number of cupcakes that Vanessa and Emily have
= 25 u + 5 u
= 30 u
Number of more cupcakes that Vanessa and Emily have than Eva
= 30 u - 6 u
= 24 u
24 u = 96
1 u = 96 ÷ 24 = 4
Number of less cupcakes that Eva has than Vanessa
= 25 u - 6 u
= 19 u
= 19 x 4
= 76
Answer(s): 76
