Mary has 5 times as many cupcakes as Julie. The total number of Mary's and Julie's cupcakes is 4 times of Ivory's. Mary and Julie have 45 cupcakes more than Ivory's. How many less cupcakes does Ivory have than Mary?
| Mary |
Julie |
Ivory |
| 5x2 |
1x2 |
|
| 4x3 |
1x3 |
| 10 u |
2 u |
3 u |
The total number of cupcakes that Mary and Julie have is repeated. Make the total number of cupcakes that Mary and Julie have the same. LCM of 6 and 4 is 12.
Total number of cupcakes that Mary and Julie have
= 10 u + 2 u
= 12 u
Number of more cupcakes that Mary and Julie have than Ivory
= 12 u - 3 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of less cupcakes that Ivory has than Mary
= 10 u - 3 u
= 7 u
= 7 x 5
= 35
Answer(s): 35
