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