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
horrorfan [7]
3 years ago
8

At a baseball game, 3 drinks and 4 hotdogs cost $15.00. At the same game, 3 drinks and 1 hotdog cost $10.50. Find the cost for a

drink.
Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

$3

Step-by-step explanation:

Given data

Let the cost of drinks be x

and the cost of hotdogs be y

so

3x+4y=15-------1

also

3x+y= 10.5------2

solve 1 and 2

 3x+4y=15

-3x+y= 10.5

     3y= 4.5

divide both sides by 3

y= 4.5/3

y= $1.5

Put y= 1.5 in 1

3x+4(1.5)=15

3x+6= 15

3x=15-6

3x= 9

x= 9/3

x= $3

Hence the cost of a drink is $3

You might be interested in
Amanda went to the store to purchase ink pens. She found three kinds of pens. The first cost $4 each; the price of the second ki
KonstantinChe [14]

Answer:

Amanda buy first kind of pen = 3

Amanda buy second kind of pen = 2

Amanda buy third kind of pen = 15

Step-by-step explanation:

Given - Amanda went to the store to purchase ink pens. She found three    

            kinds of pens. The first cost $4 each; the price of the second kind

            was 4 for $1; and the cost for the third kind was 2 for $1. She bought

            20 pens and she bought at least one of each kind. (It is possible to

            buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was

            $20.

To find - When she got back to her office, Amanda decided to turn this into

              a math problem for me. She asked: how many of each kind did I

              buy?

Proof -

Let Amanda buy first kind of pen = x

                      second kind of pen = y

                           third kind of pen = z

As given,

She bought total pen = 20

⇒x + y + z = 20          ...............(1)

Now,

As given,

cost for first kind pen = $4 for 1 pen

As she bought x pens of first kind , so

Cost of x pens of first kind = $4x

Now,

The price of the second kind was 4 for $1

⇒Cost of second kind = $\frac{1}{4} for 1 pen

As she bought y pens of send kind , so

Cost of y pens of second kind = $\frac{1}{4}y

Now,

The price of the third kind was 2 for $1

⇒Cost of third kind = $\frac{1}{2} for 1 pen

As she bought z pens of send kind , so

Cost of z pens of third kind = $\frac{1}{2}z

Now,

As given, The cost was $20

⇒4x + \frac{1}{4}y + \frac{1}{2}z = 20

⇒16x + y + 2z = 80             .....................(2)

∴ we get 2 equations

x + y + z = 20                   .....................(1)

16x + y + 2z = 80             .....................(2)

Now,

Subtract equation (1) from equation (2) , we get

16x + y + 2z  - ( x+ y + z )= 80 - 20

⇒16x + y + 2z - x - y - z = 60

⇒15x + z = 60

⇒z = 60 - 15x

Now,

Put the value of z in equation (1) , we get

x + y + 60 - 15 x = 20

⇒ y - 14x = 20 - 60

⇒y - 14x = -40

⇒14x - y = 40

⇒y = 14x - 40

Now,

we get

z = 60 - 15x

y = 14x - 40

As given

she bought at least one of each kind

it means x > 1, y > 1, z > 1

Now,

If x = 1, then y = 14 - 40 = -26

Not possible

If x = 2 , then y = 14(2) - 40 = -12

Not possible

If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15

Possible.

If x = 4,  then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0

Not Possible.

If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15

Not Possible.

∴ we get

x = 3, y = 2, z = 15

Amanda buy first kind of pen = x = 3

Amanda buy second kind of pen = y = 2

Amanda buy third kind of pen = z = 15

7 0
3 years ago
3х – 6+1 = - 2x – 5+5х​
marysya [2.9K]

Answer:0=12

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

3x-7=3x-5

Combine like terms:

3x-3x=7+5

0=12

4 0
3 years ago
Read 2 more answers
In which set do all the values make the inequality 2x-1<10 true?
GenaCL600 [577]

Answer:

The right answer is letter D. (2,3,4)

5 0
2 years ago
Read 2 more answers
Write the equation of the cosecant function with domain
zloy xaker [14]

Answer:

wait can u put it in a way that i can understand it pls and thank you

Step-by-step explanation:

4 0
3 years ago
Solve for y<br><br> 5y+3&gt;−7y+13
DedPeter [7]

Answer: Solving for y?

y > 5/6

3 0
3 years ago
Read 2 more answers
Other questions:
  • a fruit delivers its fruit in two types of boxes: large and small. a delivery of 3 large boxes and 5 small boxes has a total wei
    5·1 answer
  • A sports club needs to raise at least $500 by selling chocolate bars for $2.50 each. Sebastian wants to know how many chocolate
    13·2 answers
  • 7(h-4)=2h+17 help plzz
    6·1 answer
  • Ishaan is 2 times as older as Chris. 35 years ago, ishaan was 7 times as old as Chris. How old is Chris?
    11·1 answer
  • Solve -4.8=d-3.9<br><br>Enter only the value of the variable
    5·2 answers
  • find the length of ab round to the nearest hundredth with 8 meters and 140 degrees white circle NO ARC LENGTH
    10·1 answer
  • What is the length of ef and the measure of d?
    13·1 answer
  • What is one-half of the product of the following?
    12·2 answers
  • Dave can clean pools at a constant rate of 3/5 pools/hours , What is the ratio of the number of pools to the number of hours?
    8·1 answer
  • Lena starts a spelling test at 12:15 P.M. The test is 35 minutes long. After the spelling test, Lena has art class for 1 hour. W
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!