help word problem

Question

The Nutty Professor sells cashews for $6.50 per pound and Brazil nuts for $4.90 per pound. How much of each type should be used to make a 31 pound mixture that sells for $5.88 per pound?

___pounds of cashews

 ____pounds of Brazil nuts

Answer 1

4.9x + 6.5(31-x)= 5.88(31)

simplify and

solve for x = pounds of brazil nuts

31-x = pounds of cashews

4.9x + 6.5(31)- 6.5x = 5.88(31)

(6.5 -4.9)x= (6.5-5.88)(31)

1.6x = .62(31)

x =.31(31)/.8=96.1/8=about 12.01 lbs cashews

31-12.01 = 18.99 lbs brazil nuts

about 12 and 19 lbs

check the answer

4.9(12)+6.5(19)= 58.8+123.5=182.3

=5.88(31)=182.28