How many pounds of seed worth $1.05 per pound must be mixed with 30 pounds of seed worth $0.90 per pound in order to produce a mixture to sell for $1.00 per pound?

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Answer 1 · 2017-10-03T05:32:54

60

Let x pounds of seed to be mixed. Worth of x pounds seed = $1.05 x.

Worth of 30 pounds of other seed = $0.90 x 30 = $27.00.

Now worth of mixture i.e. ( x + 30 ) pounds = $1.00 ( x + 30).

Now as per question,

$1.00( x + 30) = $1.05 x + $ 27.00

#rArr 1.00x + 30 = 1.05x + 27.00#

#rArr 1.00x - 1.05x = 27.00 - 30#

#rArr -0.05x = -3.00#

#rArr x = -3.00/- 0.05 = 60#