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
suter [353]
3 years ago
5

At carl's combine diner, there are three size of coffee drinks regular (300ml), large (500ml) and extra large (800mL), and they

cost $2.25, $3.25, and $5.75, respectively. on a particular afternoon, the diner sold at total of 37 coffees. The total volume of coffee sold was 19,100mL and the amount of money made in coffee sales was $133.25. How many of each size of drink did customers buy that afternoon?​
Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

Answer:

The number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.

Step-by-step explanation:

Given that the cost for regular coffee drinks (300 ml)=$2.25

The cost for large coffee drinks (500 ml)=$3.25

The cost for extra large coffee drinks (800 ml)=$5.75

Let p,q, and r be the number of regular, large, and extra-large coffee sold.

As the diner sold a total of 37 coffees, so

p+q+r=37

r=37-p-q...(i)

The volume of p regular coffee = 300p ml

The volume of q  large coffee = 500q ml

The volume of r extra-large coffee = 800r ml

As the total volume of coffee sold was 19,100mi, so

300p+500q+800r=19100

By using equation (i)

300p+500q+800(37-p-q)=19100

300p+500q+800 x 37 - 800p - 800q=19100

-500p-300q=19100-29600

500p+300q=10500

500p=10500-300q

p=21-0.6q...(ii)

Now, the cost of p regular coffee=$2.25p

The cost of q large coffee=$3.25q

The cost of r extra-large coffee=$5.75r

As the amount of money made in coffee sales was $133.25, so

2.25p+3.25q+5.75r=133.25

By using equations (1)  we have

2.25p+3.25q+5.75(37-p-q)=133.25

2.25p+3.25q+212.75-5.75p-5.75q=133.25

3.50p+2.50q=79.5

From equation (ii)

3.5(21-0.6q)+2.50q=79.5

73.5-2.1q+2.5q=79.5

0.4q=79.5-73.5=6

q=6/0.4

q=15

From equation (ii)

p=21-0.6(15)

p=12

From equation (i)

r= 37-12-15

r=10

Hence, the number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.

You might be interested in
State the opposite value of the number:<br> a. 1 ______<br> b. 2______<br> c. 15______
Sergio [31]

A. -1

B. -2

C. -15

This is the anwser

5 0
3 years ago
What is the exact circumference of the circle?
Delicious77 [7]

For this case, we have that by definition, the circumference of a circle is given by:

C = \pi * d

Where:

d: Is the diameter of the circle given by 2r, that is, twice the radius.

If we have a circle with a diameter equal to 8cm, then the circumference is given by:

C = \pi * 8 \ cm

ANswer:

Option C

8 \pi \ cm

8 0
3 years ago
Read 2 more answers
find the area of the faded region. Round your answer to the nearest HUNDREDTH. Just put in the answer.​
blsea [12.9K]

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol

Step-by-step explanation:

3 0
3 years ago
1. Mr. Miller is building a dollhouse
Lina20 [59]

Answer:

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

Step-by-step explanation:

He wants a real dimension of 10 yards to be represented by a scale dimension of 4 ft.

4 ft : 10 yd

Divide both sides by 4.

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

8 0
3 years ago
What all are the factors off 453,738
vazorg [7]

Answer:

1, 2, 3, 6, 47, 94, 141, 282, 1609, 3218, 4827, 9654, 75623, 151246, 226869, 453738

Step-by-step explanation:

I looked it up

6 0
3 years ago
Other questions:
  • If a snail can crawl 2/ 3 yard in 1/5 hour, how many yards can the snail crawl in 1 hour?
    7·2 answers
  • Imagine that i have a jar that contains20 black poker chips and 40 red poker chips. what is the probability of selecting a red p
    7·1 answer
  • Help please number 11.
    9·2 answers
  • Please help with this question! It’s Algebra Math 2
    6·1 answer
  • What are the y values of y=2+2x/5
    13·1 answer
  • The triangular region shows the number of possible raisins, x, and number of possible chocolate chips, y, a baker can use in a r
    8·2 answers
  • Is 1.9 &lt; 1.39 which comparison is true?
    9·1 answer
  • PLS HELP! A bicycle tire has a radius of 13.5 inches. How far will the bicycle travel in 100 rotations of the tiree?
    7·2 answers
  • a population of rabbits is growing naturally at 20% each month. if the colony began with 2 rabbits, how many will there be in 5
    11·1 answer
  • Solve the following system of equations using the substitution method.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!