Tina has 6 times as many tarts as Natalie. The total number of Tina's and Natalie's tarts is 6 times of Winnie's. Tina and Natalie have 105 tarts more than Winnie's. How many more tarts does Tina have than Natalie?
| Tina |
Natalie |
Winnie |
| 6x6 |
1x6 |
|
| 6x7 |
1x7 |
| 36 u |
6 u |
7 u |
The total number of tarts that Tina and Natalie have is repeated. Make the total number of tarts that Tina and Natalie have the same. LCM of 7 and 6 is 42.
Total number of tarts that Tina and Natalie have
= 36 u + 6 u
= 42 u
Number of more tarts that Tina and Natalie have than Winnie
= 42 u - 7 u
= 35 u
35 u = 105
1 u = 105 ÷ 35 = 3
Number of more tarts that Tina has than Natalie
= 36 u - 6 u
= 30 u
= 30 x 3
= 90
Answer(s): 90
