Rael and Seth have some blue files and some yellow files. The number of yellow files Rael has is equal to the number of blue files Seth has.
15 of Rael's files are blue and
23 of Seth's files are yellow. There are a total of 15 blue files. Find the total number of files they have.
| Rael |
Seth |
Total |
| Blue |
Yellow |
Blue |
Yellow |
|
| |
1x4 |
1x4 |
|
|
| 1x1 |
4x1 |
1x4 |
2x4 |
|
| 1 u |
4 u |
4 u |
8 u |
17 u |
The number of Rael's yellow files and Seth's blue files is the same.
The number of Rael's yellow files is repeated. The number of Seth's blue files is repeated. Make the number of Rael's yellow files and Seth's blue files the same. LCM of 4 and 5 is 4.
Number of blue files
= 1 u + 4 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total number of files
= 1 u + 4 u + 4 u + 8 u
= 17 u
= 17 x 3
= 51
Answer(s): 51
