Mark, Simon and Tim sold some files. Tim sold 30% of the total number of files sold by Simon and Mark. Mark sold 20% of the total number of files sold by Simon and Tim. Simon sold 261 more files than Tim. Find the total number of files sold by all the boys.
| Mark |
Simon |
Tim |
Total |
| 10x6 |
3x6 |
13x6 |
| 1x13 |
5x13 |
6x13 |
| 13 u |
47 u |
18 u |
78 u |
30% =
30100 =
310 20% =
20100 =
15 The total number of files is repeated. Make the total number of files the same. LCM of 13 and 6 is 78.
Number of more files that Simon sold than Tim
= 47 u - 18 u
= 29 u
29 u = 261
1 u = 261 ÷ 29 = 9
Total number of files sold
= 78 u
= 78 x 9
= 702
Answer(s): 702
