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
Darina [25.2K]
2 years ago
10

Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o

ne coffee and three doughnuts and pays $5.00. Cathy orders three coffees, one juice, and four doughnuts and pays $11.50. Find the price of coffee, juice, and doughnuts at this coffee shop.
Mathematics
1 answer:
Evgesh-ka [11]2 years ago
7 0

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

c = coffee\\ j= juice\\ d = doughnut

So, we have:

Anna

2c + j + 2d = 7.50

Barry

c + 3d = 5.00

Cathy

3c + j + 4d = 11.50

Required

The price of each

We have:

2c + j + 2d = 7.50

c + 3d = 5.00

3c + j + 4d = 11.50

Make c the subject in: c + 3d = 5.00

c = 5.00 - 3d

Substitute c = 5.00 - 3d in 2c + j + 2d = 7.50 and 3c + j + 4d = 11.50

2c + j + 2d = 7.50

2[5.00 - 3d] + j + 2d = 7.50

10.00 - 6d+ j + 2d = 7.50

Make j the subject

j = 7.50 - 10.0 +6d - 2d

j = -2.50 +4d

3c + j + 4d = 11.50

3[5.00 - 3d] + j + 4d = 11.50

15.00 - 9d + j + 4d = 11.50

Make j the subject

j = 11.50 - 15.00 + 9d -4d

j = -3.50 + 5d

So, we have:

j = -3.50 + 5d and j = -2.50 +4d

Equate both values of  j

-3.50 + 5d = -2.50 + 4d

Collect like terms

5d - 4d = 3.50 -2.50

d = 1.00

Substitute d = 1.00 in j = -3.50 + 5d

j = -3.50 + 5d

j = -3.50 + 5 * 1.00

j = -3.50 + 5.00

j = 1.50

To solve for c, we substitute d = 1.00 in c + 3d = 5.00

c + 3 * 1.00 =5.00

c + 3.00 =5.00

Solve for c

c =- 3.00 +5.00

c =2.00

You might be interested in
The fair will be traveling to a place that uses the metric system. They received directions to their next stop, but they are in
MariettaO [177]

Answer:

2x - 0.4x ;

8x/5 ;

Yes

Step-by-step explanation:

Let number of miles = x

Arlene:

Double number of miles = 2 * x = 2x

Subtract 20% of the result :

2x - 20% of 2x ;

2x - 0.4x

Raul:

Divides Number of miles by 5 ; x / 5

Multiplies result by 8 ;

8 * (x/5) = 8x /5

To know if expressions are equivalent :

Let x = 10 miles

Using Arlene's expression:

2x - 0.4x

x = 10

2(10) - 0.4(10) = 16

Using Raul's expression :

8x / 5

(8*10) / 5

80/5

= 16

Since they give the same result, we can conclude that the expression are equivalent

5 0
3 years ago
Multiply -4x^-2y(2yx^3+6xy^3-3y^3x4)
Alenkinab [10]

Answer:

below here hopes it helps!

Step-by-step explanation:

8 0
2 years ago
Round the following numbers to the nearest 1000
Fed [463]

Answer:

A. 5000 B: 12000 C 57000

Step-by-step explanation:

All you need to do is look at the hundreds place number and if it is below 4 or is 4 keep the number the same, if it is above 4, increase it by one.

8 0
3 years ago
Read 2 more answers
Lisa family drove 830.76 miles to visit her grandpaerents.Lisa calculated that they used 30.1 gallons og gas .how many miles per
Irina-Kira [14]
830.76/30.1=27.6 miles
7 0
3 years ago
Can someone help me with this math homework please!
jolli1 [7]

Answer:

(-3,-6) and (-3,2)

Step-by-step explanation:

A line with an undefined slope is vertical. In this case it must have x coordinates equal to -3

4 0
3 years ago
Other questions:
  • Estimating the quotient 57.8 divided 81
    11·1 answer
  • What is the factored form of the expression k^2 - 9h^2
    10·1 answer
  • Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?
    7·1 answer
  • Can someone solve this for me?
    7·1 answer
  • A mahogany desk with a cash price of $810 is offered on the installment plan at $50 down and $58 per month for 15 months. what i
    6·1 answer
  • At her health club, Lauren uses a treadmill every 2 days and the weight machines every 8 days. She used a treadmill on March 2 a
    9·1 answer
  • A bag cost $58 more than 2 identical wallets. Mrs Tan paid $632 for 2 identical
    5·1 answer
  • The scale of a map says that 2 cm represents 8 km. What is the actual number of kilometers that is represented by 3 centimeters
    13·2 answers
  • A cyclist travels 24 km from home to the park,
    11·2 answers
  • I need the correct answers help pls
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!