Gabby has 5 times as many tarts as Hazel. The total number of Gabby's and Hazel's tarts is 2 times of Xylia's. Gabby and Hazel have 36 tarts more than Xylia's. How many more tarts does Gabby have than Hazel?
| Gabby |
Hazel |
Xylia |
| 5x1 |
1x1 |
|
| 2x3 |
1x3 |
| 5 u |
1 u |
3 u |
The total number of tarts that Gabby and Hazel have is repeated. Make the total number of tarts that Gabby and Hazel have the same. LCM of 6 and 2 is 6.
Total number of tarts that Gabby and Hazel have
= 5 u + 1 u
= 6 u
Number of more tarts that Gabby and Hazel have than Xylia
= 6 u - 3 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of more tarts that Gabby has than Hazel
= 5 u - 1 u
= 4 u
= 4 x 12
= 48
Answer(s): 48
