Dried fruit

The manufacturer produces a mixture of dried fruit. He purchased:

10kg pineapple for 200 Kc/kg
2kg papaya for 180 kc/kg
1kg of banana for 400 Kc/kg

How many kgs of raisin for 80 Kc/kg must be put into the mix by the manufacturer so that the production price of the mixture is 120 Kc/kg.

Result

m =  30 kg

Solution:


120 = (10*200+2*180+1*400+m*80)/(10+2+1+m)

(10+2+1+m) * ( 120 ) = (10+2+1+m) * ( (10*200+2*180+1*400+m*80)/(10+2+1+m) )

40m = 1200

m = 30

Calculated by our simple equation calculator.








Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Do you want to convert mass units? Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? Looking for help with calculating arithmetic mean? Looking for a statistical calculator?

Next similar examples:

  1. Tea mixture
    tea_1 Of the two sort of tea at a price of 180 CZK/kg and 240 CZK/kg we make a mixture 12 kg that should be prepared at a price of 200 CZK / kg. How many kilos of each sort of tea will we need to be mixed?
  2. Candy
    bonbons_5 The price for 1kg of more expensive candy is 125 CZK. The price for 1kg of cheaper candy is 100 CZK. We make two different blends of candy. And now. The second blend contains 2kg of more expensive candy and several kg of cheaper candy. The price per 1 kg o
  3. Candies
    zele-bonbony_1 The price for 1 kg of more expensive candies is 125 CZK. The price for 1 kg of cheaper candy is 100 CZK. We mix two different mixtures of candy. A) The first mixture contains 2 kg more expensive and 0.5 kg cheaper candy. Calculate the price for 1 kg of t
  4. Acid solution
    h2so4 By adding 250 grams of a 96% solution of sulfuric acid to its 3% solution its initial concentration was changed to 25%. How many grams of 3% of the acid were used for dilution?
  5. Calcium and citality
    milk_products The daily dose of calcium obtained using 0.75 liters of milk and 60 grams of cheese. A/ At the morning I drank half a liter of milk. How much cheese I must eatto eat a daily dose of calcium? b / I ate 50 grams of cheese, how much milk I must drink? c /.
  6. Bakery and flour
    silo_1 The bakery tray for flour was filled to 3/4 volume. After removing 875 kg of flour, it was filled to only 2/5 of the volume. How many tons of flour is in the full tray?
  7. Candy
    friends Peter had a sachet of candy. He wanted to share with his friends. If he gave them 30 candies, he would have 62 candies. If he gave them 40 candies, he would miss 8 candies. How many friends did Peter have?
  8. Bakery
    bread_1 How heavy must prepare bread at a bakery if lose during baking 16% of water and after baking must have 2 kg? (Calculate to the nearest gram)
  9. Addends
    two Number 118 divide into two addends, so first addend is 69 greater than 75% of the second addend.
  10. Unknown number
    nums Identify unknown number which 1/5 is 40 greater than one tenth of that number.
  11. Fifth of the number
    numbs_5 The fifth of the number is by 24 less than that number. What is the number?
  12. Meat
    maso Half a kilogram of pork and three-quarters of a kilogram of beef cost total 5.1 USD. One quarter of a kilogram of beef and 1 kilogram of pork cost 4.9 USD. Determine the price of 1 kg of each type of meat.
  13. Heating plant
    coal_1 Workers dump imported coke at heating plant. On the first day used half of the amount, the second day three quarters the rest and on the third day left 120 tons. How much coke they dump at heating plant?
  14. Classs mean
    nums Class size is 30 students, math was not worse than sign 2. Determine the number of pupils who were sign 1 if the class had a 1.4 sign average.
  15. Equation
    rovnice_3 Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
  16. Simple equation
    axes_1 Solve for x: 3(x + 2) = x - 18
  17. Average
    avg The arithmetic mean of the two numbers is 71.7. One number is 5. Calculate the second number.