Answer:
[tex]x=136[/tex]
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 = [tex]x[/tex]
The given statement can be transformed mathematically as:
[tex]\frac{1}{4}x+(-45)=-11[/tex]
Solving for [tex]x[/tex].
Simplifying by removing parenthesis.
[tex]\frac{1}{4}x-45=-11[/tex]
Multiplying each term by 4 to remove fractions.
[tex]4.\frac{1}{4}x-(4\times 45)=4\times (-11)[/tex]
[tex]x-180=-44[/tex]
Adding 180 both sides.
[tex]x-180+180=-44+180[/tex]
∴ [tex]x=136[/tex]
Thus, the number = 136
