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jeka94
3 years ago
7

Maxwell House Coffee contains 13% Columbian coffee beans by volume while

Mathematics
1 answer:
user100 [1]3 years ago
4 0

<em>x</em> kg of Maxwell House coffee contains 0.13<em>x</em> kg of Columbian beans.

<em>y</em> kg of Folgers contains 0.21<em>y</em> kg of beans.

You want a mixture weighing 70 kg, so

<em>x</em> + <em>y</em> = 70

You also want this blend to consist of 19% Columbian beans, or 0.19 (70 kg) = 13.3 kg, so

0.13<em>x</em> + 0.21<em>y</em> = 13.3

Solve for <em>x</em> and <em>y</em> :

<em>x</em> + <em>y</em> = 70   ===>   <em>y</em> = 70 - <em>x</em>

0.13<em>x</em> + 0.21<em>y</em> = 13.3   ===>   0.13<em>x</em> + 0.21 (70 - <em>x</em>) = 13.3

0.13<em>x</em> + 14.7 - 0.21<em>x</em> = 13.3

14.7 - 13.3 = 0.21<em>x</em> - 0.13<em>x</em>

1.4 = 0.08<em>x</em>

<em>x</em> = 17.5

<em>y</em> = 52.5

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