Question

Craig had a budget of 84 dollars to spend on books and movies. He bought six books at x dollars each and three movies at 12 dollars each. Model Craig's situation with an inequality, and solve for x.

What can be interpreted about the solution of the inequality?

Answer 1

Answer: (3)12 + 6x = 84

Explanation:

We know he definitely bought 3 books for $12 each so we immediately put that in the equation. Then we add that to the unknown (6 books times however much he bought them for) and then we equal it to 84 (his budget). Now we do 3 x 12 which is 36. Our new equation is 36 + 6x = 84. 84 - 36 = 48 so we know 6x = 48. Now divide 48 by 6 to get rid of the 6 and we learn that the variable equals 8. So, x = 8. We now know that he bought 6 books at 8 dollars each.