Betty has 2 times as many scones as Hazel. The total number of Betty's and Hazel's scones is 2 times of Opal's. Betty and Hazel have 30 scones more than Opal's. How many more scones does Betty have than Hazel?
| Betty |
Hazel |
Opal |
| 2x2 |
1x2 |
|
| 2x3 |
1x3 |
| 4 u |
2 u |
3 u |
The total number of scones that Betty and Hazel have is repeated. Make the total number of scones that Betty and Hazel have the same. LCM of 3 and 2 is 6.
Total number of scones that Betty and Hazel have
= 4 u + 2 u
= 6 u
Number of more scones that Betty and Hazel have than Opal
= 6 u - 3 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Number of more scones that Betty has than Hazel
= 4 u - 2 u
= 2 u
= 2 x 10
= 20
Answer(s): 20
