Gillian has 3 times as many tarts as Risa. The total number of Gillian's and Risa's tarts is 2 times of Elyse's. Gillian and Risa have 22 tarts more than Elyse's. How many more tarts does Gillian have than Risa?
| Gillian |
Risa |
Elyse |
| 3x1 |
1x1 |
|
| 2x2 |
1x2 |
| 3 u |
1 u |
2 u |
The total number of tarts that Gillian and Risa have is repeated. Make the total number of tarts that Gillian and Risa have the same. LCM of 4 and 2 is 4.
Total number of tarts that Gillian and Risa have
= 3 u + 1 u
= 4 u
Number of more tarts that Gillian and Risa have than Elyse
= 4 u - 2 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of more tarts that Gillian has than Risa
= 3 u - 1 u
= 2 u
= 2 x 11
= 22
Answer(s): 22
