17 is subtracted from the quotient of a number and -5. The result is -11. What is the number?

Question

This is on my daughters math homework and I am having a hard time helping her with it. Please help

 

Answer 1

Let number = x

 

quotient of a number and -5=> (x ÷ -5)

 

17 is subtracted from the quotient of a number and -5 =>(x ÷ -5)-17

 

The result is -11 => (x ÷ -5)-17=-11

 

now solve the equation

 

 

(x ÷ -5)-17 =-11

 

(x/-5 ) - 17 =-11

 

add 17 to both sides

 

(x/-5 )=6

 

multiply with -5 to both sides

 

x= -30

 

 

Check

 

-30 ÷ -5 =+6

 and 

6-17=-11