Tom and Sean have some grey files and some yellow files. The number of yellow files Tom has is equal to the number of grey files Sean has.
14 of Tom's files are grey and
16 of Sean's files are yellow. There are a total of 40 grey files. Find the total number of files they have.
| Tom |
Sean |
Total |
| Grey |
Yellow |
Grey |
Yellow |
|
| |
1x15 |
1x15 |
|
|
| 1x5 |
3x5 |
5x3 |
1x3 |
|
| 5 u |
15 u |
15 u |
3 u |
38 u |
The number of Tom's yellow files and Sean's grey files is the same.
The number of Tom's yellow files is repeated. The number of Sean's grey files is repeated. Make the number of Tom's yellow files and Sean's grey files the same. LCM of 3 and 4 is 15.
Number of grey files
= 5 u + 15 u
= 20 u
20 u = 40
1 u = 40 ÷ 20 = 2
Total number of files
= 5 u + 15 u + 15 u + 3 u
= 38 u
= 38 x 2
= 76
Answer(s): 76
