# algebra

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a merchant wants to stock the shelves with 100 Ibs. of a mixed nuts that cost \$8.00 a Ibs. the merchant has cashews and peanuts. peanuts cost \$6.00 a Ibs. and cashews cost \$12.00 a Ibs. how many Ibs. of each should the merchant use in the mixture?

• algebra -

C=weight of cashews in lbs
100-C = weight of peanuts (lbs)

12C + 6(100-C) = 100*8
6C = 800-600
C=200/6=33.33lbs (approx.)
Peanuts = 100-33.33=66.67 lbs (approx.)

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