Question

Three more than one-fourth of the sum of a number and one is 2?

Answer 1

`3 + 1/4(x+1)=2`

so `1/4(x+1)=-1`

so `x+1=-4` so

`x=-5`

Answer 2

The number is `-5`

Explanation:

`color(red)(3)` more than means add `3` to a number or expression.

'One fourth' of a number means the same as 'one quarter" of a value and can be written as `color(blue)(1/4)`. of `(???)`

The sum of a number and one means add them: `color(purple)((x+1))`

' is `color(green)(2)` means this is the answer.

Write all these in one equation:

`color(blue)(1/4)color(purple)((x+1))" "color(red)(+3) color(green)(=2)" "larr`now solve the equation.

`1/4(x+1) = 2-3`

`cancel4xx 1/cancel4(x+1) = -1 xx4`

`x+1 = -4`

`x =-4-1`

`x=-5`