Mary has 3 times as many cupcakes as Dana. The total number of Mary's and Dana's cupcakes is 7 times of Gem's. Mary and Dana have 48 cupcakes more than Gem's. How many less cupcakes does Gem have than Mary?
| Mary |
Dana |
Gem |
| 3x7 |
1x7 |
|
| 7x4 |
1x4 |
| 21 u |
7 u |
4 u |
The total number of cupcakes that Mary and Dana have is repeated. Make the total number of cupcakes that Mary and Dana have the same. LCM of 4 and 7 is 28.
Total number of cupcakes that Mary and Dana have
= 21 u + 7 u
= 28 u
Number of more cupcakes that Mary and Dana have than Gem
= 28 u - 4 u
= 24 u
24 u = 48
1 u = 48 ÷ 24 = 2
Number of less cupcakes that Gem has than Mary
= 21 u - 4 u
= 17 u
= 17 x 2
= 34
Answer(s): 34
