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
erica [24]
3 years ago
11

A sparkling-water distributor wants to make up 200 gallons of sparkling water to sell for $5.00 per gallon. She wishes to mix th

ree grades of water selling for $8.00, $3.00, and $4.50 per gallon, respectively. She must use twice as much of the $4.50 water as the $3.00, water. How many gallons of each should she use?
Mathematics
1 answer:
Sedbober [7]3 years ago
4 0
Assuming she make no profit and no loss from the business.

Let the number of gallons of the $8 grade water used be x, that of the $3 grade water, y, and that of the $4.50 grade water be z, then:

x + y + z = 200 . . . (1)
8x + 3y + 4.5z = 200(5) = 1,000 . . . (2)
z = 2y . . . (3)

Putting equation (3) into equations (1) and (2), we have:

x + y + 2y = 200
or x + 3y = 200 . . . (4)
and
8x + 3y + 4.5(2y) = 1000
or 8x + 3y + 9y = 1000
or 8x + 12y = 1000 . . . (5)

Multiplying equation (4) by 4, we have:
4x + 12y = 800 . . . (6)

Subtracting equation (6) from equation (5), we have:
4x = 200
or x = 200 / 4 = 50

Substituting for x into equation (4), we have:
50 + 3y = 200
or 3y = 200 - 50 = 150
or y = 150 / 3 = 50

Substituting for z into equation (3) gives:

z = 2(50) = 100

Therefore, 50 gallons each of the $8 grade water and the $3 grade water should be used and 100 gallons of the $4.50 grade water.
You might be interested in
Alexus is ordering a large pizza for lunch. She has $15 dollars in all. A large pizza costs $9 and
exis [7]

Step-by-step explanation:

It would be

9+6 because 0.50 is a dollar so if u multiply by 6 and add the 9 the equation would be 9+6.......

don't forget get to rate me thx:)

4 0
3 years ago
Who has the right to levy taxes on the income of individuals and businesses by the ruling of the 16th Amendment of the Constitut
Salsk061 [2.6K]
Congress can levy taxes.
5 0
3 years ago
You just hung a picture twelve inches above the wall trim.
GenaCL600 [577]
Yes I sure did hang the picture what about it
4 0
2 years ago
The sum of 5x and 2x is at least 14
tatuchka [14]

5x+2x>= 14

7x>= 14

divide by 7

x>=2

6 0
3 years ago
Read 2 more answers
Find the value of x. PLS HELP ANSWER ASAP!
BARSIC [14]

Answer: x = 24º

Step-by-step explanation:

180 - 94 - 41 = 45

x + 111 + 45 = 180

x + 156 = 180

x = 24

7 0
2 years ago
Other questions:
  • What ia the common ratio of the sequence? -2 , 6, -18, 54,...
    7·1 answer
  • Which expressions are polynomials? Select each correct answer.
    6·1 answer
  • Joseph says that in the number 9,999,999,all the digits have the same value?Is Joseph correct? explain
    15·1 answer
  • Mei has 8 jars of soup.each jar contains 300 milliliter a of soup.what is the smallest pot mei can use to heat all the sou?
    10·1 answer
  • I need help with this problem.
    13·1 answer
  • There are 600 adults at the beach 2 3rds of them r men how many r women/
    6·1 answer
  • Using the graph below, what is the unit rate?
    9·1 answer
  • A closed rectangular box whose dimensions are 8 feet by 5 feet by 3 feet has some water in it. When the box is resting on its sm
    10·1 answer
  • Which of the following is a true statement?
    12·1 answer
  • Somebody pls help me!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!