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. the answer is 14

We are given : Cost of a gallon of milk = $2.50.

Cost of a cup of yogurt = $1.20.

Total money Monica has = $20.

Number of cups of yogurt Monica can buy = x.

And inequality made is also correct

1.20x + 2.5 ≤ 20.

Now, we need to solve it for x.

Subtracting 2.5 from both sides, we get

1.20x + 2.5 -2.5 ≤ 20 - 2.5.

1.20x ≤ 17.5

Dividing both sides by 1.20, we get

1.20x/1.20 ≤ 17.5/1.20.

x ≤ 14.5833...

Because it's less than 15, so final answer is : 14 is  greatest number of cups of yogurt Monica can buy.

look a the sides they are perpendicular