Fiona has 2 times as many tarts as Irene. The total number of Fiona's and Irene's tarts is 5 times of Marion's. Fiona and Irene have 36 tarts more than Marion's. How many more tarts does Fiona have than Irene?
| Fiona |
Irene |
Marion |
| 2x5 |
1x5 |
|
| 5x3 |
1x3 |
| 10 u |
5 u |
3 u |
The total number of tarts that Fiona and Irene have is repeated. Make the total number of tarts that Fiona and Irene have the same. LCM of 3 and 5 is 15.
Total number of tarts that Fiona and Irene have
= 10 u + 5 u
= 15 u
Number of more tarts that Fiona and Irene have than Marion
= 15 u - 3 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Number of more tarts that Fiona has than Irene
= 10 u - 5 u
= 5 u
= 5 x 3
= 15
Answer(s): 15
