A grocer has two kinds of nuts, one that costs $5.00 per kilogram and another that costs $5.40 per kilogram. How many kilograms of each type of nut should be mixed in order to have 40 kg of a mixture worth $5.25 per kilogram?

1 Answer
Alan P.
Aug 26, 2015

22 2/9 kgm of more expensive nuts and

17 7/9 kgm of cheaper nuts.

Explanation:

Let the weight of the more expensive nuts be N
then
color(white)("XXXX")500(40-N) + 545(N) = 525*40

rarrcolor(white)("XX")20000-500N+545N = 21000

rarrcolor(white)("XX")45N = 1000

rarrcolor(white)("XX")N=200/9 = 22 2/9

Weight of the cheaper nuts: 40 - 22 2/9 = 17 7/9

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