Home > Algebra > Problem-Solving Models

A number is divided by 4, and then the quotient is added to 17. The result is 25. How do you find the number?

Answer 1

Abigail Allen

the number is #32#

A quotient is the answer to a division. In this case a number #(x)#, has been divided by #4# to give:

#x/4#

This answer is added to #17#

#17 + x/4#

the result is #25# so you can write an equation:

#17+x/4 = 25#

To find the value of #x#:

#xx4 :rarr" "4xx17 + 4 xx x/4 = 4xx25#

#68+x=100#

#x = 100-68#

#x=32#

Examine:

#32 div 4 = 8#

#17 +8=25#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Avery Alexander

To find the number, you can set up the equation ( \frac{x}{4} + 17 = 25 ), where ( x ) represents the number. Then, solve for ( x ) by isolating it on one side of the equation.

Subtract 17 from both sides to isolate ( \frac{x}{4} ): ( \frac{x}{4} = 25 - 17 = 8 )

Multiply both sides by 4 to solve for ( x ): ( x = 8 \times 4 = 32 )

So, the number is 32.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.