Coffee

In-stock are three kinds of branded coffee prices:

I. Kind. .. .. .205 Kc/kg
II. Kind. .. .. .274 Kc/kg
III. Kind. .. .. 168 Kc/kg

Mixing these three species in the ratio 8:5:6 create a mixture. What will be the price of 100 grams of this mixture?

Correct result:

x =  21.1474 Kc

Solution:

$$\begin{gathered} m_1=100\text{ g}\to \text{ kg}=100\mathrm{/}1000\text{ kg}=0.1\text{ kg } \\ r={\displaystyle \frac{8\cdot 205+5\cdot 274+6\cdot 168}{8+5+6}}={\displaystyle \frac{4018}{19}}\doteq 211.4737\text{ Kc/kg } \\ x=r\cdot m_1=211.4737\cdot 0.1={\displaystyle \frac{2009}{95}}=21.1474\text{ Kc} \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Combine / add term
  Combine like terms 4c+c-7c
• Simple equation
  Solve for x: 3(x + 2) = x - 18
• Unknown number
  Identify unknown number which 1/5 is 40 greater than one tenth of that number.
• Two trains
  There were 159 freight wagons on the railway station creating 2 trains. One had 15 more wagons than the other. How many wagons did each train have?
• Equation
  Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
• Linear system
  Solve this linear system (two linear equations with two unknowns): x+y =36 19x+22y=720
• Strange x
  For what x is true ??
• Barbara
  Barborka goes to school with backpack that was 2 - times more expensive than a bag slipper. If backpack was 36 euros cheaper it was cost same as bag slipper. How many cost backpack and how many bas slipper?
• Spain vs USA
  Spain lost to the US by 4 goals. In the match total fell 10 goals. How many goals gave the Spain and how the United States?
• Football match 4
  In a football match with the Italy lost 3 goals with Germans. Totally fell 5 goals in the match. Determine the number of goals of Italy and Germany.
• Cat
  One-fifth of the monthly pocket money contributes Maros for food for his cat, half of the rest postpone for a new smartphone. The remaining € 8 spend. How much pocket money gets Maros a month?
• Boys and girls
  There are 48 children in the sports club, boys are 10 more than girls. How many girls go to the club?
• Wallet
  From the money that was in my Maria wallet she spent a fifth on the first purchase. From remain money she could buy 2 kg of strawberries. But she bought only 1.5 kg for 60 Kc. How much money was Marie originally in her wallet?
• Bottles
  The weight of 17 bottles is 91.7 kg. What is the weight of 1 bottle?
• Weights
  Marry and John together weighing 49 kg. Their weights are in ratio 1:6. Determine their weights.
• Shirt
  Mrs. Vítková bought each of his three children the same shirt paid CZK 1,000. Saleswoman she returned 568,60 CZK. What was the price of one shirt?
• What is
  What is the value of the smaller of a pair of numbers for which their sum is 78 and their division quotients are 0.3?