Word Problem

Question

A patient is not allowed to have more than 300 milligrams of cholesterol per day from a diet of eggs and meat. Each egg provides 150 milligrams of cholesterol. each ounce of meat provides 100 milligrams of cholesterol. Write the inequality that describes the patient's dietary restrictions for eggs and ounces of meat.

Answer 1

Let e be the number of eggs he can eat in a day, and m be the number of ounces of meat he can eat in a day.

 

150e + 100m <= 300

 

 

Answer 2

Hey there!

The person cannot exceed 300 milligrams of cholesterol so he must eat 300 milligrams or below (must eat equal to 300 or below) which means we use the "less than or equal to" sign.

Each egg gives 150 milligrams and each ounce of meat provides 100 milligrams.

Call the amount of eggs x and the number of ounces of meat y:

150x + 100y ≤ 300

 

Cheers,

Rubi Pinchasov 

Answer 3

Hi Jim.

 

The patient can't have more than 300mg of cholesterol. That means that they can have 300mg or less. To express that as an inequality we would say:

 

≤300

 

which means that everything behind the inequality sign is less than or equal to 300mg.

 

Now, we know that the diet is going to consist of eggs and meat, so lets create variables as a way to express each of them.

 

eggs=e

 

meat=m

 

Now, we are given a little more info about how much cholesterol is in each egg and each serving of meat(which is given is ounces). So lets add that info to our variables.

 

eggs=150e

 

meat=100m

 

If the diet is consisting of both eggs and meat, that means that we have to use the math operation(+,-,÷,×) which denotes us putting the eggs and meat together- addition.

 

Writing only using variables, that's 

 

150e + 100m

 

Remember, this needs to be less than 300mg, so lets bring that part of our inequality in

 

150e + 100m ≤ 300

 

This is your final answer.