Question

Animals in an experiment are to be kept on a strict diet. Each animal is to receive among other things 20 grams of protein and 6 grams of fats. The laboratory technicians purchased two food mixes, A and B. Mix A has 10% protein and 6% fat. Mix B has 20% protein and 2% fat. How many grams of each mix should be used.

Answer 1

mixes A, B, respectively.

Then a single animal will be getting 0.2A + 0.1B grams of protein

and 0.08A + 0.05B grams of fat.

Therefore,

0.2A + 0.1B = 14 ------------( 1 )

0.08A + 0.05B = 6----------( 2 )

Multiplying the -----( 1 ) by 50 and the -------( 2 ) by 100,

we get,

10A + 5B = 700

8A + 5B = 600.

-------------------------

2A = 100

A = 50 [ put in -----( 1 )]

0.2A + 0.1B = 14

0.2(50) + 0.1B = 14

10 + 0.1B = 14

0.1B = 14 - 10 = 4

B/10 = 4

B = 40 , A = 50

I HOPE ITS HELP YOU DEAR,

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