A Number is divided by 3. Then, 5 is added to the quotient snd the results is 8 what is the number

The number is 9

set it up

you will have n over 3 plus five equals 8. substract 5 from both sides then you will have n over 3 equals 3. you have to multiply the n over 3 by 3 to get rid of the 3 and you multiply the 3 on the other side by three to get n equals 9

n=9

Explanation:

First, let's give a name to the number we are looking for and call it n.

So we can then write "A number is divided by 3" as n3

To add 5 to the quotient would then give us the expression n3+5

If this results in 8 we can finally write the equation we are trying to solve and solve the equation for n while keeping the equation balanced:

n3+5=8

n3+5-5=8-5

n3+0=3

n3=3

3⋅n3=3⋅3

1n=9

n=9