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Novosadov [1.4K]
3 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]3 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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soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is \frac{-1}{2}

Need to determine value of r.

Slope of a line passing through point \left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)  is given by following formula:

\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  --- eqn 1

\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}

On substituting the given value in (1) we get

\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}

Hence the value of "r" is -2

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3 years ago
Can someone please tell me the answer
daser333 [38]

Answer: whole numbers

6 0
3 years ago
Wha bout dis one????/
PolarNik [594]
6-3=3, so m=3. Easy as pie
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2 years ago
3. Starbucks Coffee was selling for $57.12 per share eighteen months ago and you
Makovka662 [10]

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The monthly budget for the front of the house is $9,000. You spent 6% of the budget on fresh flowers. How much did you spend on
adelina 88 [10]

Answer:

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Step-by-step explanation:

Since we are paying 6% of the money on flowers we need to multiply our budget by .06. Let x equal the amount of money we payed for flowers.

x=9000*.06

Multiple the two numbers

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We payed $540 for the flowers

8 0
3 years ago
Read 2 more answers
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