SOLUTION: How much of a 5% cream and a 0.5% cream would be required to compound 75 g of a 2% cream?

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Question 636474: How much of a 5% cream and a 0.5% cream would be required to compound 75 g of a 2% cream?

Answer by Maths68(1474) About Me  (Show Source):
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Cream A
=======
Amount = x
Cream = 5%=0.05

Cream B
=======
Amount = 75-x
Cream = 0.5%=0.005

Mixture Cream
=============
Amount = 75g
Cream = 2%=0.02

(Amount)(cream A)+(Amount)(Cream B)= (Amount)(Mixture Cream)
0.05x+(75-x)0.005=(75)(0.02)
0.05x+(75-x)0.005=(0.02)(75)
0.05x+(75-x)0.005=1.5
0.05x+0.375-0.005x=1.5
0.045x+0.375=1.5
0.045x=1.5-0.375
0.045x=1.125
0.045x/0.045=1.125/0.045
x=25



Cream A
=======
Amount = x = 25g
Cream = 5%=0.05
Cream B
=======
Amount = 75-x=75-25=50g
Cream = 0.5%=0.005
Mixture Cream
=============
Amount = 75g
Cream = 2%=0.02


25g of a 5% cream and 50g of a 0.5% cream would be required to compound 75 g of a 2% cream.