Gabby has 6 times as many scones as Risa. The total number of Gabby's and Risa's scones is 8 times of Erika's. Gabby and Risa have 539 scones more than Erika's. How many less scones does Erika have than Gabby?
| Gabby |
Risa |
Erika |
| 6x8 |
1x8 |
|
| 8x7 |
1x7 |
| 48 u |
8 u |
7 u |
The total number of scones that Gabby and Risa have is repeated. Make the total number of scones that Gabby and Risa have the same. LCM of 7 and 8 is 56.
Total number of scones that Gabby and Risa have
= 48 u + 8 u
= 56 u
Number of more scones that Gabby and Risa have than Erika
= 56 u - 7 u
= 49 u
49 u = 539
1 u = 539 ÷ 49 = 11
Number of less scones that Erika has than Gabby
= 48 u - 7 u
= 41 u
= 41 x 11
= 451
Answer(s): 451
