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
lyudmila [28]
3 years ago
5

A movie Theater charges $6.50 for morning tickets and $8.75 for night tickets the theater sold 378 tickets for a total amount of

$2929.50 how many morning tickets were sold
Mathematics
1 answer:
Xelga [282]3 years ago
5 0

Answer:

The number of sold morning tickets are 168.

Step-by-step explanation:

Given,

Total number of tickets = 378

Total earned amount = $2929.50

Charge of each morning ticket = $6.50

Charge of each night ticket = $8.75

Solution,

Let the number of morning tickets be 'x'.

And also let the number of night tickets be 'y'.

So, the total number of tickets is the sum of number of morning tickets and number of evening tickets.

So, framing in equation form, we get;

x+y=378\ \ \ \ equation\ 1

Again, Total earned amount is the sum of number of morning tickets multiplied with charge of each ticket and number of evening tickets multiplied with charge of each ticket.

So, framing in equation form, we get;

6.50x+8.75y=2929.50\ \ \ equation\ 2

On multiplying equation 2 by 100 on both side, we get;

100(6.50x+8.75y)=2929.50\times100\\\\650x+875y=292950\ \ \ \ equation\ 3

Now multiplying equation 1 by '650', we get;

650(x+y)=378\times650\\\\650x+650y=245700\ \ \ \ equation\ 4

Now subtracting equation 4 from equation 3, we get;

(650x+875y)-(650x+650y)=292950-245700\\\\650x+875y-650x-650y=47250\\\\225y=47250\\\\y=\frac{47250}{225}=210

Now substituting the value of'y' in equation 1, we get;

x+y=378\\\\x+210=378\\\\x=378-210=168

Hence The number of sold morning tickets are 168.

Whereas The number of sold night tickets are 210.

You might be interested in
Which values of m and b will create a system of equations with no solution? Check all that apply.
Law Incorporation [45]

Answer:

y = -2x + 1

 

Step-by-step explanation:

Then any equation of the form y = -2x + b, b≠1 will create a system with no solution.  Hence the values of m and b are m = -2, b ≠ 1.

hope i helped

8 0
3 years ago
Read 2 more answers
Loan
diamong [38]
B

Explanation: I guessed and it was right
5 0
3 years ago
How do you solve ??<br> 5x^4( 6x^4-3x^2 +7)
melamori03 [73]
Multiply the exponent of x by 4giving <span> The answer is </span><span> x^4 evaluates to </span><span> Multiply and 5 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> 5*x^4 evaluates to </span><span> Multiply the exponent of x by 4giving </span><span> The answer is </span><span> x^4 evaluates to </span><span> Multiply and 6 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> 6*x^4 evaluates to </span><span> Multiply the exponent of x by 2giving </span><span> The answer is </span><span> x^2 evaluates to </span><span> Multiply and 3 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> 3*x^2 evaluates to </span><span> 6*x^4-3*x^2 evaluates to </span><span> The answer is </span><span> 6*x^4-3*x^2+7 evaluates to </span><span> Multiply by </span><span> we multiply by each term in term by term. </span> This is the distributive property of multiplication. <span> Multiply and </span><span> Multiply the and </span><span> Multiply and </span><span> Combine the and by adding the exponents, and keeping the x, to get </span><span> The answer is </span> <span> × = </span><span> Multiply and </span><span> Multiply the and </span><span> Multiply and </span><span> Combine the and by adding the exponents, and keeping the x, to get </span><span> The answer is </span> <span> × = </span><span> Multiply and 7 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> × 7 = </span><span> 5*x^4*(6*x^4-3*x^2+7) evaluates to </span><span>The final answer is </span>
3 0
3 years ago
The price of a stock rose from a yearly low of $9.68 to $18.61. what was the stock percent increase from its low price that year
Helga [31]

Answer: i think it is 8.93

Step-by-step explanation:

4 0
3 years ago
Solve for X <br><br> Please and thanks
Tpy6a [65]

<u>Given</u>:

The measure of ∠ABD is (4x + 15)°

The measure of ∠DBC is (13x + 7)°

We need to determine the value of x.

<u>Value of x:</u>

Since, we know the property that every angle in a rectangle is 90°

Hence, the value of x can be determined by adding the two angles and equating to  90°

Thus, we have;

\angle ABD+\angle DBC=90^{\circ}

Substituting the values, we have;

4x+15+13x+7=90

              17x+22=90

                      17x=68

                          x=4

Thus, the value of x is 4.

4 0
3 years ago
Other questions:
  • andy mailed two packages. the first package weighed 2.48 pounds, and the second package weighed 2.6 pounds. andy said the first
    9·2 answers
  • ASAP! I will give you branilest
    14·2 answers
  • HELP ASAP ILL GIVE BRAINLIEST !!
    11·2 answers
  • A particular car is said to depreciate 15% a year. If the new car was valued at $20,000, what will it be worth after 6 years?
    12·1 answer
  • What are the solutions of x^2-2x+5=0? A. X=2i or x=-2i. B. X=1+2i or x=1-2i. C. X=2+i or x=2-i. D. X=2+2i or x=2-2i
    13·1 answer
  • Which of the following are solutions to the quadratic equation x squared plus 8x=9
    15·1 answer
  • - 4(x + 3) = -12 – 4x
    15·1 answer
  • 14 The straight line, L, has the equation y = 5 - 2x
    11·1 answer
  • Circle the expressions that give the same product as 5 x 3/7
    5·1 answer
  • C) What is the equation of line a? (2 points)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!