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Sonja [21]
3 years ago
8

The admission fee at an amusement park is $1.50 for children and $4.00 for adults. on a certain day, 2,700 people entered the pa

rk, and the admission fees that were collected totaled $5,800. how many children and how many adults were admitted?
Mathematics
1 answer:
polet [3.4K]3 years ago
4 0
X=children y=adults
5800=1.5x+4y
2700=x+y

First, solve the second equation for y
y=2700-x
Second, take the equasion that was just solved a substitute it in for y in the first equation
5800=1.5x+4(2700-x)
diatribute the 4 within the parenthesis
5800=1.5x+10800-4x
combine like terms
5800=-2.5x+10800
subtract 10800
-5000=-2.5x
divide by -2.5
2000=x

Take the value for x and place it in the second equation(beginning)
2700=x+y
2700=2000+y
subtract 2000
700=y

There were 2000 children and 700 adults admitted.
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4 years ago
Read 2 more answers
PLEASE HELP ME ASAP!
AleksandrR [38]

Ok so first we find the equation that equals one variable.


2y = -x + 9

3x - 6y = -15


We solve for y.


2y = -x + 9

y = -x/2 + 9/2


Then we plug in this y value into the other equation to keep only one variable so we can solve for it.


3x - 6y = -15

3(-x + 9/2) - 6y = -15

-3x + 27/2 - 6y = -15

-9y + 27/2 = -15

-9y = 3/2

-y = 3/18

y = -3/18


Then we plug in this numerical y-value into the first equation which we found out by solving an equation for y.


y = -x/2 + 9/2

-3/18 = -x/2 + 9/2

-84/18 = -x/2

-x = 9 1/3

x = -28/3


Your answer would be (-28/3, -3/18)


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Answer:

4.5

Step-by-step explanation:

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3 years ago
In 2011, a train carried 8% more passengers than in 2010. In 2012 , it carried 8% more passengers than in 2011. Find the percent
hjlf

Answer:

there was a 16% increase since 2010 to 2012

Step-by-step explanation:

lets say the train had 100 people on it in 2010 and in 2011 it had an 8% increase which then brings you to 8 plus 100 and you get 108.

Now in 2012 there was an increase 8%, so you will add 8 to your previous answer 108 and receive 116. So now there was 16 more passengers in 2012 than in 2010. Transfer the 16 passengers into 16% and you now have your answer.

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3 years ago
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