Question

If the quotient of a number and 15 is added to 1/3 the result is 19/15 find the number

Answer 1

ANSWER

n = 14

EXPLANATION

Let n be the number.

The quotient of a number and 15 is the number divided by 15:

$\frac{n}{15}$

And this added to 1/3 equals 19/15. The equation to solve is:

$\frac{n}{15}+\frac{1}{3}=\frac{19}{15}$

To solve for n first we have to subtract 1/3 from both sides of the equation:

$\begin{gathered} \frac{n}{15}+\frac{1}{3}-\frac{1}{3}=\frac{19}{15}-\frac{1}{3} \\ \frac{n}{15}=\frac{19}{15}-\frac{5}{15} \\ \frac{n}{15}=\frac{14}{15} \end{gathered}$

And then multiply both sides by 15:

$\begin{gathered} \frac{n}{15}\cdot15=\frac{14}{15}\cdot15 \\ n=14 \end{gathered}$

The mentioned number is 14