Create an Algebraic equation for the math problem

Question

Fred spent half his allowance going to the movies. He washed the family car and earned 9 dollars. What is his weekly allowance if he ended with 16 dollars?

Answer 1

Let x = Fred's allowance

.5x + 9 = 16

subtract 9:

.5x = 7

divide by .5, means multiply by 2:

x = 14

so the answer is 14.