Kylie has 6 times as many scones as Xandra. The total number of Kylie's and Xandra's scones is 8 times of Gabby's. Kylie and Xandra have 196 scones more than Gabby's. How many less scones does Gabby have than Kylie?
| Kylie |
Xandra |
Gabby |
| 6x8 |
1x8 |
|
| 8x7 |
1x7 |
| 48 u |
8 u |
7 u |
The total number of scones that Kylie and Xandra have is repeated. Make the total number of scones that Kylie and Xandra have the same. LCM of 7 and 8 is 56.
Total number of scones that Kylie and Xandra have
= 48 u + 8 u
= 56 u
Number of more scones that Kylie and Xandra have than Gabby
= 56 u - 7 u
= 49 u
49 u = 196
1 u = 196 ÷ 49 = 4
Number of less scones that Gabby has than Kylie
= 48 u - 7 u
= 41 u
= 41 x 4
= 164
Answer(s): 164
