Question

Help solve 5/6n = 10

Answer 1

n in (-oo:+oo)

(5/6)*n = 10 // - 10

(5/6)*n-10 = 0

5/6*n-10 = 0 // + 10

5/6*n = 10 // : 5/6

n = 10/5/6

n = 12

n = 12

Answer 2

The solution of ⁵/₆ n = 10 is 12

Further explanation

Order of Operations in Mathematics follow this following rule :

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

$\frac{5}{6}n = 10$

Solution:

To solve this problem , we will multiply both sides by ⁶/₅ :

$\frac{6}{5} \times \frac{5}{6}n = \frac{6}{5} \times 10$

$\frac{6 \times 5}{5 \times 6}n = \frac{6}{5} \times 10$

$\frac{30}{30} n = \frac{6 \times 10}{5}$

$n = \frac{60}{5}$

$n = 12$

$\texttt{ }$

Conclusion:

The solution of ⁵/₆ n = 10 is 12

$\texttt{ }$

Another Example:

$\frac{5}{6a} = 10$

$\frac{6}{5} \times \frac{5}{6a} = \frac{6}{5} \times 10$

$\frac{30}{30a} = \frac{60}{5}$

$\frac{1}{a} = 12$

$a = \frac{1}{12}$

$\texttt{ }$

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces