Xylia has 3 times as many scones as Shannon. The total number of Xylia's and Shannon's scones is 7 times of Betty's. Xylia and Shannon have 48 scones more than Betty's. How many less scones does Betty have than Xylia?
| Xylia |
Shannon |
Betty |
| 3x7 |
1x7 |
|
| 7x4 |
1x4 |
| 21 u |
7 u |
4 u |
The total number of scones that Xylia and Shannon have is repeated. Make the total number of scones that Xylia and Shannon have the same. LCM of 4 and 7 is 28.
Total number of scones that Xylia and Shannon have
= 21 u + 7 u
= 28 u
Number of more scones that Xylia and Shannon have than Betty
= 28 u - 4 u
= 24 u
24 u = 48
1 u = 48 ÷ 24 = 2
Number of less scones that Betty has than Xylia
= 21 u - 4 u
= 17 u
= 17 x 2
= 34
Answer(s): 34
