the number of book in a class library is 17 more than 3 times the number of student in the class if there are total 80 books then find the total number of students.
Answers
then , 17 more than 3 times = 3x+17 are books available in the library..
total book are = 80
then equation , 3x+17=80
3x=80-17
3x = 63
x= (63/3)
x= 21
total student 21 ..
hope it help you..
Answer:
Step-by-step explanation:
The total number of students in the class is 21 if the number of books in a class library is 17 more than 3 times the number of students in the class.
Concept used:
To solve a word problem take the following steps.
1. Read the problem carefully to analyse the facts given.
2. Denote the unknown quantity by any variable.
3. Express all other quantities mentioned in the problem in terms of the variable.
4. Frame an equation by using the conditions of the problems.
5. Solve the equation to find the value of the variable or the unknown.
Given :
Total number of book in a class library = 800
Number of book in a class library = 17 more than 3 times the number of student in the class
To find:
The total number of students.
Solution:
Step 1: Denote the unknown quantity by x:
Let the number of students in the class = x
Step 2: Frame an equation by using the given conditions:
Number of book in a class library = 17 more than 3 times the number of student in the class
Number of book in a class library = 3x + 17
Step 3: Solve the equation to find the number of student in the class:
Number of book in a class library = 3x + 17
80 = 3x + 17
[Given: Total no. of books in the library = 80]
3x = 80 - 17
3x = 63
x = 63 ÷ 3
x = 21
Number of student in the class = 21
Hence, the total number of students in the class is 21.
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