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Novosadov [1.4K]
4 years ago
5

The City Zoo has different admission prices for children and adults. When three adults and two children went to the zoo, the pri

ce was $81.22. If two adults and three children got in for $77.18, then what is the price of an adult's ticket and what is the price of a child's ticket?
Mathematics
1 answer:
Strike441 [17]4 years ago
4 0

Let the price of a children's ticket be x and the price of an adult's ticket be y. We can form a system of equations to solve this problem.


2x + 3y = 81.22

3x + 2y = 77.18


Lets use elimination to solve the system. First, lets multiply the first equation by 3 and the second equation by 2 so the x terms will cancel out.


6x + 9y = 243.66

6x + 4y = 154.36


We can then subtract the equations to cancel out the x variable.


6x + 9y = 243.66

-(6x + 4y = 154.36)

(6x-6x) + (9y - 4y) = (243.66 - 154.36)

0 + 5y = 89.30


Finally, we can find the value of y.


5y = 89.30

y = 17.86


Lastly, we can plug in the value of y and solve for x to find the value of the child's ticket.


2x + 3(17.86) = 81.22

2x + 53.58 = 81.22

2x = 27.64

x = 13.82


Therefore, the child ticket costs $13.82 and the adult ticket costs $17.86.

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Step-by-step explanation:

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3 years ago
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Answer:

Step-by-step explanation:

1. First, put together the information we have. Total = 121. Emily has 40% more than Carl, and Carl has 60% more than Antony.

2. Next, set each person as a variable. Antony = x. Carl = 1.6x. Emily = 1.4 times 1.6x.

3. Next, form an equation using these variables.

    x + 1.6x + (1.4 x 1.6x) = 121

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4. Finally, plug in x to our previous variables in step #2 to find the number of stamps Emily and Carl have.

<u>Antony</u>: x = 25 stamps

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<u>Emily</u>: 1.4 times 1.6x = 56 stamps

By the way, is this for RSM? If so, I am working on that problem right now and I searched up the solution but couldn't find it, so I stumbled upon this. I hope this helped!

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3 years ago
A baseball team's total wins and losses for one season is 162. The number of wins is 6 less than 2 times the number of losses. W
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Answer:

x + y = 162 and x = 2y - 6

Step-by-step explanation:

Let the total wins be x

Let the total loss be y

If a baseball team's total wins and losses for one season is 162, this can be expressed as;

x + y = 162 ....... 1

If the number of wins is 6 less than 2 times the number of losses, this is expressed as;

2 times the number of losses = 2y

6 less than 2 times the number of losses = 2y - 6

Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;

x = 2y - 6 .... 2

Hence the required system of equation are;

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3 years ago
What is the solution to 4+ 5ex+2 11?
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Answer:

x= 1/e or x= 0.367

Step-by-step explanation:

:))) Your welcome

3 0
3 years ago
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How many cubic centimeters of water can this paper cone cup hold?
Igoryamba

Answer:

150.72 cubic centimeter

Step-by-step explanation:

Given:-

Height of cone (h) = 9cm

Diameter of cone(d)=8cm

radius of cone(r)=\frac{d}{2}=\frac{8}{2} =4cm

To calculate= Volume of cone(V_{cone})

Volume\ of\ cone(V_{cone}) =\frac{1}{3} \times \pi \times r^{2} \times h

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Therefore paper cone cup can hold 150.72 cubic centimeter of water.

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