Hilda has 6 times as many scones as Marion. The total number of Hilda's and Marion's scones is 2 times of Fanny's. Hilda and Marion have 35 scones more than Fanny's. How many more scones does Hilda have than Marion?
Hilda |
Marion |
Fanny |
6x2 |
1x2 |
|
2x7 |
1x7 |
12 u |
2 u |
7 u |
The total number of scones that Hilda and Marion have is repeated. Make the total number of scones that Hilda and Marion have the same. LCM of 7 and 2 is 14.
Total number of scones that Hilda and Marion have
= 12 u + 2 u
= 14 u
Number of more scones that Hilda and Marion have than Fanny
= 14 u - 7 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Number of more scones that Hilda has than Marion
= 12 u - 2 u
= 10 u
= 10 x 5
= 50
Answer(s): 50