Eva has 3 times as many scones as Xylia. The total number of Eva's and Xylia's scones is 8 times of Gabby's. Eva and Xylia have 70 scones more than Gabby's. How many more scones does Eva have than Xylia?
| Eva |
Xylia |
Gabby |
| 3x2 |
1x2 |
|
| 8x1 |
1x1 |
| 6 u |
2 u |
1 u |
The total number of scones that Eva and Xylia have is repeated. Make the total number of scones that Eva and Xylia have the same. LCM of 4 and 8 is 8.
Total number of scones that Eva and Xylia have
= 6 u + 2 u
= 8 u
Number of more scones that Eva and Xylia have than Gabby
= 8 u - 1 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of more scones that Eva has than Xylia
= 6 u - 2 u
= 4 u
= 4 x 10
= 40
Answer(s): 40
