Q50. - Algebra 1

Question

Solve each equation. Check your solution.

$4\frac{1}{5}=3p$

Step-by-Step Solution

Answer

The required solution is $p=\frac{7}{4}$.

Step 1. Write the given information.

The given equation is: $4\frac{1}{5}=3p$

Step 2. Calculation.

Consider the given equation,

$\begin{array}{l}4\frac{1}{5}=3p\\ \frac{21}{4}=3p\\ p=\frac{21}{3\times 4}\\ p=\frac{7}{4}\end{array}$

Step 3. Checking solution.

Substitute $p=\frac{7}{4}$ in the given equation, we get

$\begin{array}{l}4\frac{1}{5}=3p\\ \frac{21}{5}=3\left(\frac{7}{4}\right)\\ \frac{21}{5}=\frac{21}{5}\end{array}$

Hence, proved.