Q15. - Algebra 2

Question

15. If 25 percent of 300 is equal to 500 percent of $\text{t}$, then state $\text{t}$ is equal to what number.

Step-by-Step Solution

Answer

The value of t is $15$.

Step 1 - State the definition of a variable.

A variable is a term that is used to represent an unknown value.

Step 2 - Evaluate the value of t .

Given that $25\%$ of 300 is equal to $500\%$ of $t$.

That is:

$\frac{25}{100}\times 300=\frac{500}{100}\times t$

Simplify the equation using multiplication and division,

$\begin{array}{c}\frac{25}{100}\times 300\times 100=\frac{500}{100}\times t\times 100\\ 25\times 300=500t\\ \frac{7500}{500}=\frac{500t}{500}\\ t=15\end{array}$

Step 3 - State the conclusion.

Therefore, the value of $t$ is $15$