Yen has 6 times as many cupcakes as Gem. The total number of Yen's and Gem's cupcakes is 2 times of Lucy's. Yen and Gem have 63 cupcakes more than Lucy's. How many less cupcakes does Lucy have than Yen?
| Yen |
Gem |
Lucy |
| 6x2 |
1x2 |
|
| 2x7 |
1x7 |
| 12 u |
2 u |
7 u |
The total number of cupcakes that Yen and Gem have is repeated. Make the total number of cupcakes that Yen and Gem have the same. LCM of 7 and 2 is 14.
Total number of cupcakes that Yen and Gem have
= 12 u + 2 u
= 14 u
Number of more cupcakes that Yen and Gem have than Lucy
= 14 u - 7 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Number of less cupcakes that Lucy has than Yen
= 12 u - 7 u
= 5 u
= 5 x 9
= 45
Answer(s): 45
