A) 3 teachers for 45 students
To calculate the reduced ratio, we will have to calculate the number of students to one teacher
[tex]\begin{gathered} \text{If 3 teachers = 45students} \\ \text{then 1 teacher = x students} \end{gathered}[/tex]By cross multiplying, we will have
[tex]\begin{gathered} 3\times x=45\times1 \\ 3x=45 \\ \text{divide both sides by 3} \\ \frac{3x}{3}=\frac{45}{3} \\ x=15 \end{gathered}[/tex]Hence,
The reduced ratio is = 1 : 15
The reduced rate is = 1 teacher to 15 students
B) 6 apples for 2 pies
To calculate the reduced ratio, we will have to calculate the number of apples to one pie
[tex]\begin{gathered} \text{If 6 apples = 2 pies} \\ \text{then x apples = 1 pie} \end{gathered}[/tex]By cross multiplying, we will have
[tex]\begin{gathered} 2\times x=6\times1 \\ 2x=6 \\ \text{divide both sides by 2} \\ \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}[/tex]Hence,
The reduced ratio is = 3 : 1
The reduced rate is = 3 apples to 1 pie
