SOLUTION: A chef has one cheese that contains 45% fat and another cheese that contains 20% fat. How many grams of each cheese should she use in order to obtain 30 grams of a cheese mixture t

Question 702767: A chef has one cheese that contains 45% fat and another cheese that contains 20% fat. How many grams of each cheese should she use in order to obtain 30 grams of a cheese mixture that is 30% fat?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = grams of 45% fat cheese needed
Let = grams of 20% fat cheese needed
given:
(1)
(2)
---------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
The chef needs 12 grams of the 45% cheese
and 18 grams of the 20% cheese
check answer:
(2)
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
A chef needs to mix a 45% fat content cheese with a 20% fat content cheese to obtain 30... (answered by calbreez)

Nicole started a new diet that requires each meal to have 280 calories, 4 grams of fiber, (answered by greenestamps)

An average bagel contains 30 mg of calcium and 2 mg of iron. One ounce of cream cheese... (answered by richwmiller,jim_thompson5910)

In an experiment involving mice, a zoologist needs a food mix that contains, among other... (answered by josgarithmetic)

Mrs. Schmeiderer is making a cheese tray containing Cheddar and Swiss cheese that will... (answered by richwmiller)

Please Help...I am clueless The meteorologists at the National Interagency Fire Center (answered by longjonsilver)

This is actually a total value problem using a graph. How many lbs. of whole milk and... (answered by stanbon)

Please help me!!!! A store is selling two different types of cheese. One type sells... (answered by stanbon,Stitch,josmiceli)

To make low fat cottage cheese, milk containing 4% butterfat is mixed with milk... (answered by richwmiller)