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

Dillard

Dillard

Answered question

2021-05-14

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 & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-05-16Added 169 answers

Correct answer is on video

Ian Adams

Ian Adams

Skilled2021-08-04Added 163 answers

The quantity of 45% fat cheese is x. yy be the cheese's 20% fat content, both measured in grams.
30 grams of cheese mixture are used.
x+y=30(1)
It must be 30% by way of fat percentage:
0.45x+0.2y=0.3(30)
0.45x+0.2y=9(2)
Solve by substitution. Solve for yy using (1) to obtain (3):
y=30x(3)
Substitute (3) to (2) and solve for xx:
0.45x+0.2(30x)=9
0.45x+60.2x=9
0.25x+6=9
0.25x=3
x=12
Solve for yy using (3):
y=3012
y=18
In order to achieve this, the chef must use 12 grams of 45% fat cheese and 18 grams of 20% fat cheese.

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