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
Sholpan [36]
3 years ago
15

The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p

ure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 65%
pure fruit juice?
Mathematics
1 answer:
Stolb23 [73]3 years ago
6 0

Answer:

First type of fruit drinks: 48 pints

Second type of fruit drinks: 32 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 55% pure fruit juice

Let's call B the amount of second type of fruit drinks. 80% pure fruit juice

The resulting mixture should have 65% pure fruit juice and 80 pints.

Then we know that the total amount of mixture will be:

A + B = 80

Then the total amount of pure fruit juice in the mixture will be:

0.55A + 0.8B = 0.65 * 80

0.55A + 0.8B = 52

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:

-0.8A -0.8B = -0.8*80

-0.8A -0.8B = -64

-0.8A -0.8B = -64

               +

0.55A + 0.8B = 52

--------------------------------------

-0.25A = -12

A = \frac{-12}{-0.25}

A = 48\ pints

We substitute the value of A into one of the two equations and solve for B.

48 + B = 80

B = 32\ pints

You might be interested in
Mackenzie has a bag that contains 6 red marbles, 4 blue marbles, and 14 yellow marbles. If she chooses one marble from the bag,
NeX [460]
10 of the 24 marbles in the bag are not yellow.

\frac{10}{24}  \: is \: approximately \: equal \: to \: 41.67\%
6 0
3 years ago
Read 2 more answers
The points (-1,1), (0,0), and (1,1) translate the points __ of g(x).
wariber [46]
The answer would be -1,2
8 0
3 years ago
46) Which of the following is equivalent to the expression below?
ddd [48]

Answer:

Step-by-step explanation:

Your question doesn't match the picture. OCR is often inaccurate!—not that it matters much in this case. None of the choices is correct.

(20-4)·6² + 2 + 18 = 16·6² + 2 + 18

= 16·36 + 2 + 18

= 576 + 2 + 18

= 578 + 18

= 596

5 0
2 years ago
In the game of baseball, there are 3 in outs per inning . A pitcher who pitches 4 innings and gets two batters out in the fifth
weeeeeb [17]

Answer: Yes, it is correct

Step-by-step explanation: Because of that, When you multiply 4.2 x 3 x 4 = 50.4

3 0
2 years ago
How can I use fraction tiles to help me divide a whole number by a unit fraction
aniked [119]

sorry stranger but you can't use tiles if you want to go and count your tiles on the floor of your house

8 0
3 years ago
Other questions:
  • The sum of two numbers is -12 one number is 3 less than twice the other what is the bigger number
    5·1 answer
  • Which of the following expressions is between 10 and 11? √10.5 √100 √21 √115
    11·2 answers
  • 5)
    13·2 answers
  • A student can solve 20 problems in 30 minutes. How long would it take him to solve 50 problems? Answer fast please.
    6·2 answers
  • The exponent in “8n5” is:
    7·1 answer
  • Please provide steps. I have a test soon.
    10·1 answer
  • Observe randomly the weight of 100 chickens at farm A. The sample mean is 3.4 kg and sample standard deviation is 0.5. Observe r
    12·1 answer
  • I neeeeeeeeed helpppppooo Need help asappp:((
    6·1 answer
  • Can someone solve a - 3 over 7 s = -8<br><br><br> and a + 24 = -15<br><br> STEP BY STEP PLEASE.
    13·2 answers
  • What is the value of x?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!