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
Ivahew [28]
2 years ago
12

If 111 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the c

oncert was $401.25, how many of each went to the concert?
Mathematics
2 answers:
Daniel [21]2 years ago
8 0

Answer:

Number of children=57

Number of adults=54

Step-by-step explanation:

We can start by forming simultaneous equations from the information provided.

Let the number of children be x and adults be y, then the the sum of the amount collected from both children and adults=3.25x+4y=401.25

The total number of people in attendance x+y=111

Let us solve these equations simultaneously.

3.25x+4y=401.25

x+y=111

Using substitution method.

y=111-x

3.25x+4(111-x)=401.25

3.25x+444-4x=401.25

-0.75cx=-42.75

x=57

Number of children=57

Adults=111-57

=54

VikaD [51]2 years ago
5 0

Answer:

57 children

54 adults

Step-by-step explanation:

Let's call x the number of children admitted and call z the number of adults admitted.

Then we know that:

x + z = 111

We also know that:

3.25x + 4z = 401.25

We want to find the value of x and z. Then we solve the system of equations:

-Multiplay the first equation by -4 and add it to the second equation:

-4x - 4z = -444

3.25x + 4z = 401.25

----------------------------------

-0.75x = -42.75

x =\frac{-42.75}{-0.75}\\\\x=57

Now we substitute the value of x in the first equation and solve for the variable z

57 + z = 111

z = 111-57

z = 54

You might be interested in
Find the sale pice is the original price is $82 and discount is 10%
Tpy6a [65]
First you should find the discount so you can say: 
10/100 = ?/82 
so ? is your discount and ? is equal to:
? = 82*10/100 = 8.2 
so your discount is $8.2 and your sale price will be:
$82 - $8.2 = $73.8 :)))
I hope this is helpful 
have a nice day 
7 0
3 years ago
Jerome deposits $4,700 in a certificate of deposit that pays 6 1/2% interest, compounded annually. How much interest does Jerome
Inessa05 [86]

Answer:

$305.5

Step-by-step explanation:

7 0
3 years ago
A ball is projected in to the air. Its height at time t is given by the equation
Ksju [112]
The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:

h=-16 t^{2} +60t+1
8=-16 t^{2} +60t+1
16 t^{2} -60t-1+8=0
16 t^{2} -60t+7=0

This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:
t= \frac{-bplus minus \sqrt{ b^{2}-4ac } }{2a}
You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."

In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of) t^{2} = 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7

Substituting these into the quadratic formula gives us:
t= \frac{-(-60)plus minus \sqrt{ (-60)^{2}-4(16)(7) } }{2(16)}
t= \frac{60plus minus \sqrt{3600-448 } }{32}
t= \frac{60plus minus \sqrt{3152 } }{32}

As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:
t=  \frac{60+56.1426}{32} =3.63
and
t=  \frac{60-56.1426}{32} =.12

So the height is 8 feet at t = 3.63 and t=.12

It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.


3 0
3 years ago
Quran records that his hamster an turn the wheel in its cage to make 1 revolution in 0.5 minuet. How many revolutions can the ha
s344n2d4d5 [400]
20.5 divided by 0.5 = 41 rev
6 0
3 years ago
Read 2 more answers
Solve by substitution -4x-y=-2,y=-4x+3​
IRISSAK [1]

Answer:

No solution

Step-by-step explanation:

Substitution is done by substituting one equation into another. To begin solve one equation for a variable.

Substitute y=-4x+3​ into -4x-y=-2.

-4x -(-4x + 3) = -2

-4x + 4x - 3 = -2

-3=-2

This is a false statement and there is no variable present anymore. This means the equations have no solution.

7 0
3 years ago
Other questions:
  • How many community serviece hours are students required to work ? ex
    14·1 answer
  • the points (3, 9) and (-3, -9) ate plotted on the coordinate plane using the equation y=a . x ... - did
    9·1 answer
  • Calculati un numar stiind ca 15% din acesta este 141.
    12·2 answers
  • What step comes first to solve 18/2 - 5 + 7 - 12
    10·1 answer
  • A fair coin is flipped 14 times. Find the probability that more than 4 of the flips turn up tails.
    15·1 answer
  • Find the mean, median, and mode of the data set 8 2 7 2 6​
    15·2 answers
  • What is the length of side AC as shown on the coordinate plane?<br> ТУ
    14·1 answer
  • Each serving of the fruit soda she makes. Gabi has 2/3 cup of pineapple juice and 1/2 cup of cranberry juice. How many cups of f
    9·1 answer
  • Factor the following quadratic function f(x)=X^2-25
    6·1 answer
  • A sequence is shown in the graph.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!