Question

Two-thirds of a number, n, is equal to 16. Set up an equation that involves n and solve it for the number described.

Answer 1

Two-thirds of a number, n, is expressed mathematically as follows:

`(2)/(3)n`

Given that two-thirds of a number, n, is equal to 16, then:

`(2)/(3)n=16`

Multiplying by 3 at both sides of the equation, we get:

`\begin{gathered} 3\cdot(2)/(3)n=3\cdot16 \\ 2n=48 \end{gathered}`

Dividing by 2 at both sides of the equation, we get:

`\begin{gathered} (2n)/(2)=(48)/(2) \\ n=24 \end{gathered}`