Six times a number is 17 more than five times that number.

Question

This question was generated from a practice study guide in a remedial algebra course. The instruction prior to this question state: Write an equation to represent the problem and solve. Here are the four multiple choice answers: (A) 5/12, (B) -5/12, (C) 3/4, (D) -3/4.

Answer 1

Six times a number is 17 more than five times that number.

 

1)Six times a number means multiply a number by 6.... If we call the number x then this is 6x

2) is means =, so we have 6x =

3) 17 more than 5 times that number means 5x+17

 

Our final equation:  6x=5x+17

 

Now just solve for x

 

subtract 5x from both sides

6x-5x = 5x-5x + 17

x = 17

 

Check the answer:

 

6(17) = 5(17) + 17

102 = 85 + 17

102 = 102

Answer checks.