monica has $20. she needs to buy a gallon of milk that costs $2.50. she also wants to buy yogurt, which…

monica has $20. she needs to buy a gallon of milk that costs $2.50. she also wants to buy yogurt, which costs $1.20 a cup. what is the greatest number of cups of yogurt monica can buy? use the inequality 1.20x + 2.5 ≤ 20 to solve the problem. monica can buy cups of yogurt.
Answer
Explanation:
Step1: Subtract 2.5 from both sides
$$1.20x+2.5 - 2.5\leq20 - 2.5$$ $$1.20x\leq17.5$$
Step2: Divide both sides by 1.20
$$x\leq\frac{17.5}{1.20}\approx14.58$$ Since (x) represents the number of cups (a whole - number quantity), we take the floor of the value.
Answer:
14