Question

Find F in the given equation.​

Answer 1

Let's solve your equation step-by-step.

$50=20+(\frac{305+8f}{120} )\times 5$

Step 1: Simplify both sides of the equation.

$50=20+(\frac{305+8f}{120} )( 5)$

(Distribute)

$50=20+\frac{1}{3}f+\frac{305}{24}$

(Combine Like Terms)

$50=(\frac{1}{3}f)+(20+\frac{305}{24})$

$50=\frac{1}{3}f+\frac{785}{24}$

Step 2: Flip the equation.

$\frac{1}{3}f+\frac{785}{24}=50$

Step 3: Subtract $\frac{785}{24}$  from both sides.

$\frac{1}{3}f+\frac{785}{24}-\frac{785}{24}=50-\frac{785}{24}$

$\frac{1}{3}f=\frac{415}{24}$

Step 4: Multiply both sides by 3.

$3\times \frac{1}{3}f=3\times \frac{415}{24}$

$f=\frac{415}{8}$

Verification

$50=20+(\frac{305+8f}{120} )\times 5$

Let's give f its value and solve. So $f=\frac{415}{8}$.

$20+(\frac{305+\left(8\times \frac{415}{8}\right)}{120})\times 5$

$20+\frac{305+415}{120}(5)$

$20+\frac{720}{120}(5)$

$20+(6)(5)$

$20+30$

$50$

∴ $f=\frac{415}{8}$ in the equation ⇒ $50=20+(\frac{305+8f}{120} )\times 5$

Additional Information ❤

What is an equation?

A mathematical statement that says two things are equal is known as an equation.

What does an equation consist of?

An equation in algebra mostly consists of like terms, unlike terms, variables and constants.

What are the types of equations?

There are mainly five types of equations. They are namely ⇒

• Quadratic Equation
• Linear Equation
• Radical Equation
• Exponential Equation
• Rational Equation

What is a formula?

A rule, law or fact in mathematics is known as a formula. A formula makes it easy to solve mathematical problems.