Question

A fourth of a number added to -45 is -11 how do you solve for x

Answer 1

Answer:

$x=136$

Step-by-step explanation:

Given statement:

A fourth of a number added to -45 is -11

To find the number.

Solution:

Let the number be = $x$

The given statement can be transformed mathematically as:

$\frac{1}{4}x+(-45)=-11$

Solving for $x$.

Simplifying by removing parenthesis.

$\frac{1}{4}x-45=-11$

Multiplying each term by 4 to remove fractions.

$4.\frac{1}{4}x-(4\times 45)=4\times (-11)$

$x-180=-44$

Adding 180 both sides.

$x-180+180=-44+180$

∴ $x=136$

Thus, the number = 136