1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
agasfer [191]
3 years ago
5

A coffee merchant sells three blends of coffee. A bag of the house blend contains 100 grams of Colombian beans and 100 grams of

French roast beans. A bag of the special blend contains 100 grams of Colombian beans, 300 grams of Kenyan beans, and 200 grams of French roast beans. A bag of the gourmet blend contains 100 grams of Colombian beans, 200 grams of Kenyan beans, and 300 grams of French roast beans. The merchant has on hand 14 kilograms of Colombian beans, 18 kilograms of Kenyan beans, and 26 kilograms of French roast beans. If he wishes to use up all of the beans, how many bags of each type of blend can be made?
Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

  • 65 bags of House Blend
  • 30 bags of Special Blend
  • 45 bags of Gourmet Blend

Step-by-step explanation:

Since we want to use all the beans, the constraints can be written as equations in h, s, and g, the numbers of bags of the House, Special, and Gourmet blends that can be made from existing stock. If units are 0.1 kg, then the equations are ...

  h + s + g = 140

  h +2s +3g = 260

       3s +2g = 180

__

Subtracting the first equation from the second gives ...

  s + 2g = 120 . . . . . . . derived fourth equation

Subtracting that from the third equation gives ...

  2s = 60

  s = 30

Then filling that back into the derived fourth equation, we have ...

  30 + 2g = 120

  g = (120 -30)/2 = 45

And substituting into the first equation gives ...

  h + 30 + 45 = 140

  h = 65

The merchant can use all of his beans making 65 bags of house blend, 30 bags of special blend, and 45 bags of gourmet blend.

You might be interested in
Simplify 6 - (-2) - 3(-5)
seraphim [82]

So the first thing we need to do is multiply 3*-5, since order of operations dictates it (PEMDAS)

6-(-2)-(-15)

Now, whenever we see a minus negative number, we can think of it as adding a positive number

6+(+2)+(+15)

Now we just add them together

6+2+15 = 23

23 is the answer

8 0
3 years ago
Read 2 more answers
An angle measures 6° less than the measure of a complementary angle. what is the measure of each angle?
Sauron [17]
A and 90-a is the measure of the two angles

a=90-a-6
2a=84
a=42
42° and 48°
3 0
3 years ago
Selected value of each decimel number when it is rounded to the nearest whole number ​
PtichkaEL [24]

Answer:

  1. 5
  2. 6
  3. 6
  4. 5

Remember the decimal <em>hundredths</em> rounding ruleset.

  • If a decimal is below .50, round down.
  • If a decimal is .50, round up.
  • If a decimal is above .50, round up.

View this array below to get a better image.

\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right]

So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8

6 0
2 years ago
Which number should be added to both sides of the equation to complete the square x^2-10x=7
mixer [17]

Answer:

  25

Step-by-step explanation:

The number that needs to be added is the square of half the x-coefficient:

  (-10/2)^2 = 25

_____

Adding that gives ...

  (x -5)^2 = 32

  x = 5 ± 4√2

5 0
3 years ago
The lengths of the sides of a triangle are 4,6 and 8 If the midpoints of the three sides are joined to form a second triangle, f
yuradex [85]
I think the perimeter is 9 units

7 0
3 years ago
Other questions:
  • An initial population of 12 earthworms increases by 4% each year. If the function f(x) = abx models this situation, which functi
    5·1 answer
  • When data consist of percentages, ratios, growth rates, or other rates of change, the geometric mean is a useful measure of cent
    8·1 answer
  • Megan earned four dollars for an hour of babysitting on Saturday here and $16 how many hours did she babysit
    6·1 answer
  • |BRAINLIEST|
    13·2 answers
  • Which of the following expressions is equivalent to a(4-a)-5(a+7)
    8·2 answers
  • Need help with this limits sequence.
    11·1 answer
  • The tens digit of a two-digit number is one more than the units digit. The difference between this number and the reverse number
    13·2 answers
  • I need help, can someone show me how to solve it
    13·2 answers
  • Determine the width of the pond.​
    11·2 answers
  • Provide the missing reasons for the proof. <br><br> Given: AB = CB<br> EB DB<br> Prove: ABC ~ EBD
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!