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]
3 years ago
10

Meghan needs to board her cats and dogs at a kennel while she's on vacation. Pet Hotel charges $42.50 for a cat and $64.00 for a

dog for a total cost of $277.00. Animal Spa charges $35.50 for a cat and $50.50 for a dog, for a total cost of $222.50. How many cats and how many dogs does Meghan have?
Mathematics
2 answers:
Anni [7]3 years ago
4 0

Answer:

2 Cats and 3 Dogs.

Step-by-step explanation:

Let the number of cats owned by Megan =c

Let the number of dogs owned by Megan =d

Pet Hotel charges $42.50 for a cat and $64.00 for a dog for a total cost of $277.00.

This gives us:

  • 42.50c+64.00d=277.00

Animal Spa charges $35.50 for a cat and $50.50, for a total cost of $222.50.

This gives us:

  • 35.50c+50.50d=222.50

We have derived two linear equations which we can now solve simultaneously for c and d.

  • 42.50c+64.00d=277.00
  • 35.50c+50.50d=222.50

Multiply the first equation by 50.50 and the  second equation by 64.

  • 2146.25c+3232d=13988.50
  • 2272c+3232d=14240

Subtract

  • -125.75c=-251.50

Divide both sides by -125.75

  • c=2

Substitute c=2 into any of the equations to obtain d.

42.50c+64.00d=277.00

42.50(2)+64.00d=277.00

85+64.00d=277.00

64.00d=277-85=192

Divide both sides by 64

  • d=3

Meghan has 2 Cats and 3 Dogs.

Alex Ar [27]3 years ago
3 0

Answer:

3 dogs and 2 cats.

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: number of cats

let y: number of dogs

So:

42.5 * x + 64 * y = 277

35.5 * x + 50.5 * y = 222.5 => x = (222.5 - 50.5 * y) /35.5

Replacing, we are left with that:

42.5 * (222.5 - 50.5 * y) /35.5 + 64 * y = 277

266.37- 60.45 * y + 64 * y = 277

64 * y - 60.45 * y = 277 - 266.37

3.55 * y = 10.63

y = 10.63 / 3.55

y = 2.99, about 3

Now to calculate x:

x = (222.5 - 50.5 * 3) /35.5

x = 2

Which means that it has a total of 3 dogs and 2 cats.

You might be interested in
Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k :
KATRIN_1 [288]

Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k

Given equation is y = x^2 + 26 x + 160

We apply completing the square method

we take coefficient of middle term and then divide by 2  and then square it

coefficient of middle term is 26

Divide by 2, it becomes 13

then we square it (13)^2 = 169

Add and subtract 169

y = x^2 + 26 x +169 - 169 + 160

y = x^2 + 26 x +169 - 9

y = (x + 13)^2 - 9

We got the equation in vertex form

6 0
2 years ago
Read 2 more answers
Convert the rational number into an equivalent rational number with the given numerator 3/5=12/□
trapecia [35]

Answer:

3/5

=3*4/5*4

=12/20

I hope this will help.

7 0
2 years ago
Read 2 more answers
All number that are evenly divisible by both 6 and 14 are also divicible by?
torisob [31]
2 because all even numbers are divisible by 2<span />
3 0
3 years ago
Read 2 more answers
Conor and Jake's lunch cost 13.00. They left a 15% tip. How much did they leave?
notsponge [240]
1 dollar 95 cents is how much they left
8 0
2 years ago
Factor: 28k^3-24k^2+49k-42<br><br> I will give Brainliest to the first person :)
seropon [69]

Answer:

(4k^2+7)(7k-6)

Step-by-step explanation:

Factor each half of the expression separately:

4k^2(7k-6)+7(7k-6)

Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:

(4k^2+7)(7k-6)

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is 2(9x+3)+5x=48+2x
    14·1 answer
  • X squared minus x minus 6 =0
    11·1 answer
  • What is the point of intersection of these two lines:<br>25x+10y=100<br>10x+20y=120
    13·1 answer
  • HELP PLZZ
    11·2 answers
  • A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 9 units and widt
    8·2 answers
  • What is mental math for 8x25x23
    6·2 answers
  • Bre’anna has $1,125 in her checking account, owes $800 on her credit card, and has a car worth $3,500 that is paid off. What are
    14·1 answer
  • What is the slope of line AE?
    15·1 answer
  • The degree of the polynomial f (x) is 3, and the degree of the polynomial g(x) is 4. Find the degree of the polynomial f (x) + g
    10·1 answer
  • Can someone help me out?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!