825 tickets were sold for a game for a total of $1,462.50. If adult tickets sold for $2.50 and children's tickets sold for $1.00
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Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
The property of equality of the rows, columns, and diagonals in the magic
square can be used to find the value of <em>n</em>.
The value of <em>n</em> is 6
Reasons:
The magic square can be presented as follows;
Given that the sum of the numbers in each row and in each column and in
each of the two diagonals are equal, to find the value of <em>n</em>, two rows having
different number of the variable <em>n</em> can be equated as follows;
The top row = n - 2 + 3 + n + 2 = The bottom row = 2 + 2·n - 5 + n
n - 2 + 3 + n + 2 = 2 + 2·n - 5 + n
2·n + 3 = 3·n - 3
3·n - 3 = 2·n + 3 (symmetric property)
3·n - 2·n = 3 + 3
n = 6
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