algebra

Word problems confuse me.
THe owner of a fancy food shoppe wants to mix cashews selling at $8/kg and pecans selling at $7/kg. How many kg of each kind of nuts should be mixted to get 8 kg worth $7.25/kg?

  1. 👍
  2. 👎
  3. 👁
  1. $8/kg*Xkg + $7kg*Ykg = 7.25/kg*8kg,

    Eq1: 8X + 7Y = 58,

    Eq2: X + Y = 8,
    Multiply Eq2 by -8, add the 2 Eqs and get:
    -Y = -6,
    Y = 6kgs of pecans.

    Substitute 6 for Y in Eq2 :
    X + 6 = 8,
    X = 2 kgs of cashews.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Social Studies

    Which of the following would most likely be in support of the NAFTA Agreement? A. a small, one-store business owner in Mexico B. a corporate owner in Canada looking to expand* C. a factory owner in Mexico looking to cut labor

  2. Real Estate

    An owner lists his home and agrees to pay a 6% commission provided he nets $10,000 after paying the commission and the balance of his mortgage, which is $75,000. To the nearest dollar, what should the selling price be to net the

  3. Statistics

    39% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name their favvorite kind of nut. Find the probability that the number who say cashews are thrie favorite nutis (a)exactly

  4. Math

    Nima uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cup pecans, and some raisins in a recipe that makes 2 1/4 cups of trail mix. How many cups of peanuts are there per cup of trail mix?

  1. finitemath

    a store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. the manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. how many pounds of cashews should be mixed with

  2. Language Arts

    A girl from town with mighty charm Who had a fancy for shoes and hats. Which dictionary definition BEST applies to the word fancy as it is used in line 29? A) a critical judgment B) a daydream or reverie C) a delight or

  3. math

    44% of adults say cashews are their favorite kind of nut. You randomly select 12 people and ask each to name their favorite nut. Find the probability that the number who say cashews are their favorite nut (a) exactly three, (b) at

  4. algebra

    The manager of a bulk foods establishment sells a trail mix for $6 per pound and premium cashews for $13 per pound. The manager wishes to make a 315-pound mixture that will sell for $8 per pound. How many pounds of each should be

  1. college algebra

    A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with

  2. Math Word Problem

    Cashews sell for $4.00 per pound and peanuts for $1.50 per pound. The peanuts didn't sell well, so in order to sell 60 lbs of peanuts the manager decided to mix 60 lbs of peanuts w/ cashews and sell the mixture for $2.50 per

  3. math

    Austin is creating a new trail mix by combining two of his best­selling blends. A pineapple­coconut­macadamia (pcm) mix that sells for $18/kg and a banana­papayapeanut (bpp) mix that sells for $10/kg. Write the equations and

  4. algebra

    a candy company has 130 pounds of cashews and 170 pounds of peanuts which they combine into different mixes the deluxe has half cashews and half peanuts and sells for $7 a pound the economy mix has one third cashews and two thirds

You can view more similar questions or ask a new question.