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# Word Problem

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A grocer mixes together some cashews costing \$8 per kilogram with some Brazil nuts costing \$10 per kilogram. The grocer sold 12 kilograms of the mixture for \$8.50 per kilogram. How many kilograms of cashews were in the mixture in the grocer sold?

Guest Feb 23, 2017
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Let the kilograms of cashews  = x

Then...the kilograms of Brazil nuts = 12 -x

And we have that.......

Quantity of kilos of cashews * price per kilogram + quantity of kilos of Brazil nuts * price per kilogram =  12 kilo mixture at 8.50 per kilogram

x * 8 + (12 - x) * 10 =  12 * 8.50 simplify

8x + 120 - 10x  =  102

-2x + 120  = 102    subtract 120 from each side

-2x  = -18    divide both sides by -2

x  = 9  kilos of cashews

CPhill  Feb 23, 2017

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