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
In-s [12.5K]
3 years ago
14

The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 2,000 people entered the pa

rk, and the admission fees that were collected totaled $4,750. How many children and how many adults were admitted
Mathematics
2 answers:
Firdavs [7]3 years ago
5 0

Answer:

In that day 1300 children and 700 adults were admitted.

Step-by-step explanation:

Since the people who enter the park are either adults or children, the sum of these two types of people must be equal to the total amount that entered the park. So we have:

children + adults = 2000

The total amount collected must be the sum of the people that entered the park multiplied by the ticket fee for each type. We have:

1.5*children + 4*adults = 4750

We now have two equations and two variables so we can solve the system.

children + adults = 2000                                             equation 1

1.5*children + 4*adults = 4750                                     equation 2

We can multiply the equation 1 by -1.5 and sum it with the equation 2 to solve for adults, we have:

-1.5*children - 1.5*adults = -3500

1.5*children + 4*adults = 4750

2.5*adults = 1750

adults = 1750/2.5 = 700

To solve for children we apply the found value for adults on the equation 1.

children + 700 = 2000

children = 2000 - 700 = 1300

In that day 1300 children and 700 adults were admitted.

Mamont248 [21]3 years ago
5 0

Answer:

700 adults and 1300 children

Step-by-step explanation:

Let 'C' represent number of children

'A' represent number of adults

->If  2,000 people entered the park, the equation will be

C+A=2000

C=2000-A ->eq(1)

->$1.50 for children and $4.00 for adults.

$1.50C+$4.00A=$4,750

Substituting for C from above.

$1.50(2000-A)+$4.00A= $4,750

$3000-$1.50A+$4.00A=$4,750

$2.50A = $4,750 - $3000

$2.50A=$1750

A= 700

and for children:

eq(1)=>

C=2000-700

C= 1300

Thus, 700 adults and 1300 children were admitted.

You might be interested in
How to solve approximate square roots
Murljashka [212]
Just follow this operation.
Find the two perfectly squared factors the multiple to your number.
Take the square root of those perfect factors then multiple them.

5 0
3 years ago
3) The distance between two villages is 1.9 km.
Dmitrij [34]

<em>☽------------❀-------------☾</em>

<em>Hi there!</em>

<em>~</em>

<em>1:10000 would be the scale.</em>

<em>❀Hope this helped you!❀</em>

<em>☽------------❀-------------☾</em>

<em></em>

3 0
3 years ago
The sum of the angle measures of a polygon with n sides is 1260. find n.
Murrr4er [49]
Knowing the interior angle sum formula is; 

180x(n-2)

180x(n-2)=1260 (solve for n here) 
180n-360=1260 
180n=1260+360
180n=1620 
n=1620/180 
n=9

Therefore, this polygon has 9 sides.

Hope I helped :) 
4 0
3 years ago
The price of a certain computer stock t days after it is issued for sale is p(t)=100+20t−6t^2 dollars. The price of the stock in
Elanso [62]

Answer:

0 < t < \frac{5}{3}

After 1.67 days the stocks would be sold out.

Step-by-step explanation:

The price of a certain computer stock after t days is modeled by

p(t) = 100 + 20t - 6t²

Now we will take the derivative of the given function and equate it to zero to find the critical points,

p'(t) = 20 - 12t = 0

t = \frac{20}{12}

t = \frac{5}{3} days

Therefore, there are two intervals in which the given function is defined

(0, \frac{5}{3}) and (\frac{5}{3}, ∞)

For the interval (0, \frac{5}{3}),

p'(1) = 20 - 12(1) = 20

For the interval (\frac{5}{3}, ∞),

p'(2) = 20 - 12(2) = -4

Positive value of p'(t) in the interval (0, \frac{5}{3}) indicates that the function is increasing.

0 < t < \frac{5}{3}

Since at the point t = 1.67 days curve is showing the maximum, so the stocks should be sold after 1.67 days.

7 0
3 years ago
Rise over run, unit rate, constant rate of change, and the variable m all represent slope.
nikklg [1K]

Answer:

True.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel
    9·1 answer
  • Solve 3[-x + (2 x + 1)] = x - 1.
    8·1 answer
  • X to the 2nd power+10 EVALUATE IF x=5 <br><br> please help i have no braincells
    12·1 answer
  • f(x) = −16x2 + 24x + 16 Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points) Part B: Is the vertex
    6·1 answer
  • How do you find the leg of a triangle?
    14·1 answer
  • The sum of two numbers is 67. if one of the numbers is p, express the other number in terms of p
    6·1 answer
  • A 25
    12·1 answer
  • Evaluate each expression.<br> 12<br> N<br> 3<br> (2511)<br> -<br> DONE
    11·2 answers
  • Explain solving how 4x&lt;-16 is different from -4x&lt;16<br><br> Thank y'all
    13·2 answers
  • A field is a rectangle with a perimeter of 960 feet. The length is 100 feet more than the width. Find the width and length of th
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!