some notebooks were distributed equally among some students. if 10 students were less, each would get one notebook less . find the number of notebooks distributed
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Answered by
1
Answer:
300
Step-by-step explanation:
Number of students-s
Number of notebooks each student get
n
Number of notebooks- sn
Now, let's build equations based on given:
1. 10 students less: (s-10) (n+1)=sn+s-10n-10-sn => s-10n+10
2. 15 student more: (+15) (n-1)=sn-s+15n-15-sn => s=15n-15
Comparing s in above equations we get value of n:
10n+10=15n-15
5n=25
n=5
s=10*5+10=60
Number of notebooks: 5*60=300
Answered by
3
Let Number of students be s
Let number of notebooks each student get be n
Thus, number of notebooks - sn
1) 10 students get less : ( s-10 )
(n+1) = sn + s -10 n -10 - sn = s-10n +10
2) 15 students got more : ( s+15)
(n-1) = sn - s + 15n - 15 -sn = s = 15n - 15
10n +10 = 15n - 15
5n = 25
n= 5
s=10×5 + 10
= 60
Number of notebooks 5 ×60
= 300
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