Answer:
Explanation:
We can construct the equation by breaking down the parts of the problem statement. Let's say that [text]N[/tex] is the number that we are trying to solve for in this problem:
"one-fourth of a number" =
![(1)/(4)N](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f9atpawlpsjgy4749qtpnqprhtwlhju2tn.png)
"two more than one-fourth of a number" =
![(1)/(4)N + 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/98ft98pdm1o5t5zutcmjzewfvvfw79sbi2.png)
"two more than one-fourth of a number is six" =
![(1)/(4)N + 2 = 6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h9qlxixxu659p6tl6fb36ru5ler0sic5pr.png)
Now that we have our equation, we can solve for
:
Subtract 2 from both sides:
![(1)/(4)N = 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/atmxtw5to4lsa5rxszgnszt2r0qmscrjk9.png)
Multiply both sides by 4:
![N = 16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yk4so51urbrxhwzombsjgb3xq1h45a0nhn.png)