Ask questions and get helpful answers.

Given: 11-pound mixture of peanuts, almonds, and raisins

Cost:
peanuts - 1.5 per pound
almonds - 3 per pound
raisins - 1.5 per pound

mixture:
twice as many peanuts as almond; total cost of mixture is 21.

a + p + r = 11 lbs
a + 2a + r = 11 lbs
3a + r = 11
r = 11 - 3a

1.5(2a) + 3a + 1.5r = 21
3a + 3a + 1.5r = 21
6a + 1.5r = 21
6a + 1.5(11-3a) = 21
6a + 16.5 - 4.5a = 21
6a - 4.5a = 21 - 16.5
1.5a = 4.5
1.5a/1.5 = 4.5/1.5
a = 3

almonds = 3 lbs
peanuts = 2a = 2(3) = 6lbs
raisins = 11 - 3a = 11 - 3(3) = 11 - 9 = 2 lbs

My answer is: C. 6 lbs peanuts, 3 lbs almonds, 2 lbs raisins

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
5 answers
  1. You can easily check this yourself.
    First
    3 + 6 + 2 = 11 sure enough
    twice as many peanuts as almonds, yes

    total cost = 1.5*6 + 3*3 + 1.5*2
    = 9 + 9 + 3 = 21 so yes, done

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. what's the answer to the rest of the quiz???

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. 1.)(-5,-1,0)
    2.)(-8,-7,5)
    3.)(6lbs peanuts,3lbs almonds,2lbs raisins)

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  4. anonymous is correct!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  5. #1 is -5,-1,0

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Similar Questions

  1. math

    From a bag of peanuts, phillip took 1/3, then joy took 1/4 of the remaining, brent took 1/2 of the remaining, and preston took 10. There were 71 peanuts remaining....how many were there to start?

  2. AR

    How many 5-pound bags of apples can be made from 400 apples, each weighing ΒΌ pound?

  3. Algebra II

    Bolivian coffee sells for $4.59 per pound, and Columbian coffee sells for $5.95 per pound. How many pounds of each coffee should be mixed to produce 4000 pounds of a mixture that will be sold for $5.10 per pound? I think this is a system of equations but

  4. Math

    A clock was exactly on time at noon on Monday. At 8 Pm. on Tuesday it was 128 seconds slow. At that same rate, how much did it lose in 1/2 hour? Question 2. if carrots are selling at $.0125 a pound, how many pound we can buy for a dollor. Answer 800.

  5. hbi pact for adults

    There are 106-8d common nails in one pound. How many are in 50 pound box

  6. Algebra

    How many pounds of $1.60 tea must be added to tea costing $1.80 per pound to make a new mixture of 100 pounds costing $1.75 per pound?

  7. Math

    A grocer wishes to blend two different coffee brands because he wants to make a blend of 480 pounds to sell at $2.68 a pound. If he uses a brand of coffee worth $2.50 a pound with another brand worth $2.80 a pound, how many pounds of each does he use?

  8. math

    how many pounds of peanuts that sell for $2 a pound must be mixed with six pounds of cashew nuts that sell for$4 a pound to get a mixture that can sell for $2.50 a pound?

  9. Math

    5.) Simone owns a candy store and wishes to mix strawberry candy worth $2.48 per pound with chocolate candy worth $3.50 per pound to form 17 pounds of a mixture worth $2.96 per pound. Write and solve a system of linear equations to find how many pounds of

  10. math

    A grocer wishes to blend two different coffee brands because he wants to make a blend of 480 pounds to sell at $2.68 a pound. If he uses a brand of coffee worth $2.50 a pound with another brand worth $2.80 a pound, how many pounds of each does he use?

Still need help?

You can ask a new question or browse existing questions.