Question

wade wants to buy sweaters. He has $175 and each sweater costs $12.00. Write and solve an inequality to find how many sweaters he can buy and still have at least $55.

Answer 1

Wade wants to have at least $55 left, so the sign will be ≤ (greater than or equal to 55) One sweater costs $12. You can use x to represent an unkown number of sweaters, so $12x. You are subtracting 12x by your budget of $175. When put together, the inequality is $175-$12x ≤ $55. Now to solve. You want to get x alone so subtract 175. You must do this to both sides. Now you have -12x≤ -120. Divide both sides by -12 and your final answer is -120/-12 ≥ 10. (Notice the sign changes when you divide by a negative) So Wade cannot buy more than 10 sweaters to have $55 left over. Phoo that was a workout. It can be difficult but once you get the hang of it it comes easy. If you need more help just ask :D

Answer 2

X is the number of sweaters Wade buys.
175$-12x≥55$.
Solve the equation to get X = 10 sweaters.