At a zoo, the price of 4 adult tickets and 6 child tickets is $77.The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult and for one child?

Answers

Answer 1

Answer:

the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5

Step-by-step explanation:

Given that:

the price of 4 adult tickets & 6 child tickets = $77

the price of  6 adult tickets & 4 child tickets = 83

then the price of 1 adult ticket and 1 child ticket will be:

Let assume that the cost of 1 adult ticket to be $p

Then;

the cost of 4 adult ticket = $4p

Similarly, the cost of 6 adult ticket = $6p

However, assuming that the cost of 1 child ticket is $q

Then;

the cost of 6 child ticket = $6q

the cost of 4 child ticket = $4q

We can express them with their given prices that:

4p + 6q = 77    --- (1)

6p + 4q  = 83   --- (2)

From equation (1), let 4p = 77 - 6q

Then; [tex]p = \dfrac{77 - 6q}{4}[/tex]

replace the value of p into equation (2)

[tex]6 \Big ( \dfrac{ 77 - 6q }{4}\Big) + 4q = 83[/tex]

[tex]\dfrac{462 - 36q}{4}+ 4q = 83[/tex]

[tex]115.5 - 9q + 4q = 83 \\ \\ 115.5 -5q= 83 \\ \\ 115.5 - 83 = 5q \\ \\ 32.5 = 5q[/tex]

[tex]q= \dfrac{32.5}{5}[/tex]

q = 6.5

Since q = 6.5, then using equation (1)

4p + 6(6.5) = 77

4p +39 = 77

4p = 77 -39

4p = 38

p = 38/4

p = 9.5

Thus, the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5


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Answer:

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Hi there,

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Answers

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Step-by-step explanation:

HELP (ENGLISH)
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The area of a rectangular field is 48m2 and one of its sides is 6m . How long will a lady take to cross the field diagonally at the rate of 20m/min

Answers

Answer:

It will take her approximately 28 seconds to cross the diagonal of the pitch

Step-by-step explanation:

If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.

Step one: Find the length of the field from its area.

The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.

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The length of the pitch = 7 m

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The length of the diagonal is 9.22m

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Answers

Answer:

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Step-by-step explanation:

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Answers

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PEMDAS

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Answers

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Answers

Answer:

$6727.50

Step-by-step explanation:

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Answers

Answer:

y = -x -1

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

A pizza cost 12.00. If the sales tax is 7%, what is the final price of the pizza?

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Answers

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Answer:

(-21,22)

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

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