SOLUTION: Find the number that is exactly three-fifths of the way from 14 to 69 on the number line. A. 47 B. 36 C. 33 D. 22 E. none of these

Algebra ->  Number-Line -> SOLUTION: Find the number that is exactly three-fifths of the way from 14 to 69 on the number line. A. 47 B. 36 C. 33 D. 22 E. none of these      Log On


   

Question 243139: Find the number that is exactly three-fifths of the way from 14 to 69 on the number line.
A. 47 B. 36 C. 33 D. 22 E. none of these
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
69 - 14 = 55

all the way from 14 to 69 would be 55 units

3/5 of the way would be 3*55/5 = 3*11 = 33 units

14 + 33 = 47 units

47 should be 3/5 of the way to 69.

how would we figure?

47 - 14 = 33

69 - 1`4 = 55

33/55 = 3/5

to visualize this, take smaller numbers.

take 5 units away.

assume 10 to 15

that's 5 units away

3/5 * 5 = 3 units

that means that 10 + 3 = 13 would be 3/5 of the way to 15.

your units are: 
                                       ***   
              1/5          2/5         3/5         4/5         5/5
10
11             *            *           *           *           *           
12                          *           *           *           *              
13                                      *           *           * 
14                                                  *           * 
15                                                              *


If you move 5 units you will be there.

If you move 3 units you will have moved 3 out of 5 which makes you 3/5 there.

your answer would be C.) which is 33 units.