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
Andrej [43]
3 years ago
7

I purchase 3kg of coffee and 2kg of tea for $76. There's a drought in South America causing the price of coffee beans and tea le

aves to increase. Coffee prices increase by 20% and tea prices increase by 10%. I place the same order for coffee and tea yet this time I am charged $87.20. What are the original prices for 1kg of coffee and 1kg of tea? What are the new prices?
Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0

Answer:

Original prices are $ 20 and $ 12 for tea and coffee respectively.

The new prices are $ 22 and $ 14.4 for tea and coffee respectively.

Step-by-step explanation:

Let C, the price of the original coffee and T be the precise of the original tea, we can pose the following equations:

First, the with the price of the initial values, since they give us the total value of the purchase.

3 * C + 2 * T = 76 (1)

Second, with the increased prices an equation can also be made because they give us the total value and the new price can be expressed as the function of the original price by the percentage increase, as follows:

3 * (1.2 * C) + 2 * (1.1 * T) = 87.2

Solving we have:

3.6 * C + 2.2 * T = 87.2

Reorganized:

C = (87.2 - 2.2 * T) /3.6 (2)

Now, replacing (2) in (1) we are left with:

3 * [(87.2 - 2.2 * T) /3.6] + 2 * T = 76

Resolving

[(3 * 87.2 - 3 * 2.2 * T) /3.6] + 2 * T = 76

(261.6 - 6.6*T)/3.6 + 2*T = 76

(261.6 - 6.6*T + 3.6*2*T)/3.6 = 76

(261.6 + 0.6*T)/3.6 = 76

261.6 + 0.6*T = 76*3.6

0.6*T = 273.6-261.6

T = (273.6-261.6)/0.6

T = 20

Replacing in (2)

 C = (87.2 - 2.2 * 20) /3.6 = 12

Original prices are $ 20 and $ 12 for tea and coffee respectively.

The new prices would be:

1.2 * C = 1.2 * 12 = 14.4

1.1 * T = 1.1 * 20 = 22

Therefore, the new prices are $ 22 and $ 14.4 for tea and coffee respectively.

You might be interested in
A tank is filled with 1000 liters of pure water. Brine containing 0.07 kg of salt per liter enters the tank at 9 liters per minu
DiKsa [7]

Answer: A. S(t)= 1000 + 0.63t + 0.48t - 17t

              B. S(t)= 984.11

Step-by-step explanation:

7 0
3 years ago
Pls answer if u do know
stepladder [879]

C √18

............

............

............

............

5 0
2 years ago
Read 2 more answers
2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and
Rashid [163]

Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.

4 0
2 years ago
Joe is 20 years old. His sister is half his age less 7. How old is his sister?
MakcuM [25]
The answer is 3. 20/2=10 10-7=3
3 0
3 years ago
3. Marco's Pizzeria has a pizza deal of 5 slices for $6. New York Slice has a pizza deal of 4 slices for $5. Which pizza place h
NeTakaya
New York slice has a better pizza deal
5 0
3 years ago
Read 2 more answers
Other questions:
  • Rebecca's father is 2 times as old as Rebecca. The sum of their ages is no less then 69. Find an inequality that can be used to
    11·1 answer
  • Diameter = 4
    7·1 answer
  • How do u solve this question 3/4 - 1/3 =
    9·2 answers
  • Given: 2x+3y=6.<br> What is the y-intercept?
    8·1 answer
  • Every 5 1/2 cups of flour weighs 1 9/16 pounds. use a unit rate to show how you could determine if there are more than or less t
    6·1 answer
  • What is the sum of (5x - 10) and (-X + 8) ?
    12·1 answer
  • Order the following decimals from greatest to least <br> 0.25 0.67 0.8 0.5 0.33
    8·1 answer
  • If you know how to add and subtract whole numbers, then you can add and subtract decimals! Just be sure to line up the terms so
    14·1 answer
  • For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y
    11·1 answer
  • Tell whether the number is written correctly in scientific notation. 9.9 times 10*-4
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!