In a class, a certain number of girls can be arranged such that there are exactly 23 girls per row. If the same number of girls arranged in rows of 18 girls each, there will be 5 more rows and 5 girls left over. How many girls are there altogether?
| |
First
arrangement |
Second
arrangement |
| Number |
1 u |
1 u + 5 |
| Value |
23 |
18 |
| Total value |
23 u |
18 u + 90 |
Total number of girls in the first arrangement
= 1 u x 23
= 23 u
Total number of girls in the second arrangement
= 18(1 u + 5)
= 18 u + 90
If 5 girls were included in the second arrangement, the total number of girls in the first arrangement and the second arrangement will be the same.
23 u = 18 u + 90 + 5
23 u - 18 u = 95
5 u = 95
1 u = 95 ÷ 5 = 19
Total number of girls
= 23 u
= 19 x 23
= 437
Answer(s): 437
