Computer Sharing
Number Theory
Level
2
There are several students in a school. If each computer is use by 3 students, there will be 10 student left. If each computer is use by 5 students, there will be 2 student left. How many students are there in the school?
The answer is 22.
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1 solution
Let x become the number of computers and y become the number of students.
y=3x+10...(1)
y=5x+2...(2)
so, 3x+10=5x+2
2x=8
x=4
so, the number of students=3(4)+10
or
y=5(4)+2
y=22