Question

in the auditorium there are 28 red chairs and 64 blue chairs. what is the ratio of the number of blue chairs to the total number of chairs? write your answer as two numbers separated by a colon (for example, 2:3).

Explanation:

Step1: Find total number of chairs

Total chairs = red chairs + blue chairs = \(28 + 64 = 92\)

Step2: Find ratio of blue chairs to total chairs

Ratio = blue chairs : total chairs = \(64 : 92\)
Simplify the ratio by dividing both numbers by their greatest common divisor, which is 4.
\(64\div4 = 16\), \(92\div4 = 23\)
So the simplified ratio is \(16 : 23\)

Answer:

\(16:23\)