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Mashutka [201]
3 years ago
8

To get a 100 kilograms of a 48% fat content chocolate how many kilograms of a 30% and 50% mix should be used

Mathematics
1 answer:
wlad13 [49]3 years ago
8 0
A kilogram %30 chocolate,
b kilogram %50 chocolate,
a+b = 100 kilogram chocolate,

48.(a+b) = 30.a + 50.b
48a + 48b = 30a + 50b
18a = 2b
b = 9a

a+b = a + 9a = 10a = 100 kg
a = 10 kg
b = 9.a = 90 kg

You should use,

10 kg %30 chocolate,
90 kg %50 chocolate
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\mathbb{A~N~S~W~E~R~:}

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➡ \Huge \sf \mathbb \color{}\underline{\colorbox{ANSWER~WITH~EXPLANATION ~!}{}}

\mathfrak{apply~the~fraction~rule:  }   a \frac{b}{c} =\frac{a~. ~b }{c}

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