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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.

Respuesta :

datfatmouse
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.

Greatest number of cups of yogurt Monica can buy is equals to 14cups.

What is Linear inequality?

" Linear inequality is the algebraic mathematical expression which compares two value with the sign of inequality, <, > , ≤, ≥ ."

According to the question,

Given,

Total amount with Monica = $20

Cost of a gallon on milk = $2.50

Cost of 1cup of yogurt = $1.20

Given linear inequality

 1.20x + 2.5 ≤ 20

x represents the number of cups of yogurt

Solve linear inequality  to get the value of x we have,

1.20x+2.5 -2.5 ≤ 20-2.5

⇒1.20x ≤ 17.5

⇒x ≤  17.5 / 1.20

⇒x ≤  14.58

14 ≤ 14.58 ≤  15

Therefore, 14 of cups of yogurt Monica can buy.

Learn more about Linear inequality here

https://brainly.com/question/11897796

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