A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

The system of equations required to determine the amount of drink A and B made are :

Learn more : https://brainly.com/question/20379472?referrer=searchResults

The points in the table lie on a line. Find the slope of the line.

A
Solve the triangle.
19.3
b
45°
105
B
a

If log 2 = x and log 3 = y, write each logarithm in terms of x and y.

a) log 18
b) log 9

In one game of basketball Henry scored 24 points.
How many points would Henry score if he played 3 games of
basketball?

im slow so could somebody help me please

you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long?​

Planet X is 1/2 of a light-year away from Earth. Planet Y is 3/10 of a light-year away from Earth. How much farther away is Planet X?

Please help??? Thank you!!!

2 increased by 8 times a number is equal to 5. Write an equation or inequality.​

56 1/4% equals what?

an elevator began at an elevation of 85.5 feet and ascended at a rate of 2.75 feet per second. what was the elevation of the elevator after 8 seconds?

Please help brainiest will give you!

Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3

fing the sum of the interior angle measures of the polygon ​

My remainder is 8. My dividend is 80. I am a 1- digit number. What divisor am I?

Write an equation in slope-intercept form for the line parallel to y=3x-2 that passes through the point (5,-2)

Choose a number that is a factor of 900. 25, 27, 31, 32, 44, 45

brainly what is y = 5x + 8; (2, 16)

Sue juiced oranges from her orange trees. From the first two trees she collected 2/6 gallon of juice from each tree. The last tree yielded 2/3 gallon. After using some of the juice she collected for breakfast, Sue found that she only had 3/4 gallon of juice left. How much juice did she use for breakfast?

find the value of the expression n+2×m
for m=6 and n =4​

Which of the following expressions results in a positive number?
5. ( - 1)
-30(-8)
-6 (2)
Sect one:

Estimate the difference.

14One-ninth – 5.89

8
12
16
20

Dantes Soccer Team Sells T-Shirts To raise money for new equipment. For Each T-shirt sold the team raises $8. Parents Also make a donation of $100 toward the equipment.

What is The equation That the total amount raised y , if x T-shirts are sold?

A. y= 8x
B. Y=12.5x
C. y= 100x + 12.5
D. y= 8x + 100​

what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters ​

PLEASE HELP AND SHOW WORK​

Mary used one big bag of flour. She baked four loaves of bread.​ Then, she used the remaining flour to make 48 muffins. How much flour was in the bag when Mary​ began? Plz help!!!! I have 20 minutes left

9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8

Zach created a blueprint using only similar parallelograms. Which statement about the parallelograms must be true? A) The parallelograms all have congruent sides and angles. B) The parallelograms have corresponding angles that are not congruent. C) The parallelograms have proportional corresponding sides. D) The parallelograms have corresponding sides that are congruent.

The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.

y – 1 = (x – 2)
y – 2 = (x – 1)
y – 4 = (x – 4)
f(x) = x +
f(x) = x +

True or false

In order to
calculate interest, it is
the Principal times the
Rate minus any
Overdraft Fees.

33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))