Hilda has 3 times as many cupcakes as Zara. The total number of Hilda's and Zara's cupcakes is 3 times of Vanessa's. Hilda and Zara have 96 cupcakes more than Vanessa's. How many more cupcakes does Hilda have than Zara?
| Hilda |
Zara |
Vanessa |
| 3x3 |
1x3 |
|
| 3x4 |
1x4 |
| 9 u |
3 u |
4 u |
The total number of cupcakes that Hilda and Zara have is repeated. Make the total number of cupcakes that Hilda and Zara have the same. LCM of 4 and 3 is 12.
Total number of cupcakes that Hilda and Zara have
= 9 u + 3 u
= 12 u
Number of more cupcakes that Hilda and Zara have than Vanessa
= 12 u - 4 u
= 8 u
8 u = 96
1 u = 96 ÷ 8 = 12
Number of more cupcakes that Hilda has than Zara
= 9 u - 3 u
= 6 u
= 6 x 12
= 72
Answer(s): 72
