A dietician must use three foods, A,B and C , in a diet. He must include twice as many grams of food A as food C and 5g of food B. The three foods must total at most 24g. What is the largest amount of food C that the dietician can use?

Question

mathstudent55 · Answer

I think you left out "A" in your problem.
You wrote:
"He must include twice as many grams of food as food C and ..."
Do you mean:
"He must include twice as many grams of food A as food C and ..."

anonymous · Answer

sorry i omitted A

mathstudent55 · Answer

Ok.
Let's see how much of each food there must be.
Let C be the amount of food C he must use.
Food     Amount
A            2C
B             5
C            C

mathstudent55 · Answer

When you add all the amounts, it must be at most 24 g.
That means the sum must be less than or equal to 24.

mathstudent55 · Answer

$2C + 5 + C \le 24$
Solve the inequality for C.

anonymous · Answer

thank you i got 6 1/3, i horrible at writing the formulas, I appreciate your help

mathstudent55 · Answer

You need to practice.

mathstudent55 · Answer

You're welcome.

mathstudent55 · Answer

Break down the given info like I did.
Then it's easier to write the equation.

anonymous · Answer

I will try that thanks

mathstudent55 · Answer

yw