Question

Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four”? (1 – n) – 3 =1/2 (4 – 3n) 3 – (1 – n) =1/2 (4 – 3n) (n – 1) – 3 = 1/2(3n – 4) 3 – (n – 1) = 1/2(3n – 4)

Answer 1

Answer:

3 – (n – 1) = 1/2(3n – 4)

Step-by-step explanation:

"Three minus the difference of a number and one" tells us that we will start with 3 and subtract.  We will put "the difference of a number and one" in parentheses; this makes it (n-1).  Together this gives us 3-(n-1).

This equals "one-half of the difference of three times the same number and four."  Three times the same number is 3n; the difference of this and four is 3n-4.  One-half of this is 1/2(3n-4).

This gives us

3 – (n – 1) = 1/2(3n – 4)

Answer 2

3 – (n – 1) = 1/2(3n – 4)