Question

Max has cashews that sell for $4.75 a pound and peanuts that sell for $2.75 a pound. How much must he mix to get 80 pounds of a mixture that he can sell for $3 per pound

Answer 1

Answer:

10 lb of cashews and 70 lb of peanuts

Step-by-step explanation:

Let x = the pounds of cashews.

Then 80 – x = the pounds of peanuts

Value of cashews + value of peanuts = volume of mixture

x×4.75 + (80 – x)×2.75 = 80×3     Remove parentheses

   4.75x + 220 - 2.75x = 240        Combine like terms

               2.00x + 220 = 240        Subtract 220 from each side

                          2.00x = 20          Divide each side by 2.00

                                  x = 10 lb

                          80 - x = 80 – 10

                         80 - x = 70 lb

Max will mix 10 lb of cashews with 70 lb of peanuts.

=====

Check:

10×4.75 + 70×2.75 = 80×3.00

    47.50 + 192.50 = 240.00

                240.00 = 240.00

Answer 2

40pounds of peanuts 40pounds of cashews