Answer:
Ratio of Non Fiction : Fiction books = 7 : 6
Step-by-step explanation:
Total number of books checked out = 52
Number of fiction books checked out = 24
So, number of non fiction books = Total books - number of fiction books
Or, number of non fiction = 52 - 24 = 28 books
Now, ratio of Non Fiction : Fiction books = 28 : 24
Solving the ratio term in its lowest form, we get
The Ratio of Non Fiction : Fiction books = 7 : 6
The greatest possible number of club members is 7
<em><u>Solution:</u></em>
Given that, local readers’ club has a set of 49 hardback books and a set of 21 paperbacks
Each set can be divided equally among the club members
To find the greatest possible number of club members, we have to find the greatest common factor of 49 and 21
The greatest number that is a factor of two (or more) other numbers.
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
<em><u>Greatest common factor of 49 and 21:</u></em>
The factors of 21 are: 1, 3, 7, 21
The factors of 49 are: 1, 7, 49
Then the greatest common factor is 7
Thus, the greatest possible number of club members is 7
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