two more than one-third of a number is 8

Answer 1

Hello Hunter. When trying to figure out mathematical sentences like these, the first thing you should try to do is figure out what your variable is. When they say "a number," that number is what you call x. From that point you try to work from the inside out. In this case, You say to yourself, ok I want one third of a number. We said "a number" is x, so one third of "a number" is (1/3)x. Then from here you finish what the rest of the statement wants. They want 2 more than (1/3)x. 2 more means add 2, so ultimately we have (1/3)x + 2. They want this whole expression equal to 8, so you put an "= 8" at the end, giving you (1/3)x + 2 = 8. Hope this helps.

Answer 2

To solve this we need to break down what each term means.

Two more than would look like x + 2

One-third of a number is 1/3*X or X/3

From this we can say x*1/3 + 2 = 8

To find X, you need to get X alone.

First, subtract 2 from both sides to get rid of the + 2 factor

X*1/3 = 6

Multiple both sides by 3 to resolve the 1/3 factor

X = 6*3 = 18