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
Novay_Z [31]
2 years ago
11

Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man

y tickets of each were sold
Mathematics
1 answer:
Kryger [21]2 years ago
3 0

Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}

\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}

You might be interested in
2.Write a ratio comparing the total pairs of socks in the drawer to the pairs of white socks in the drawer. Make sure it is in s
ICE Princess25 [194]
So ratio is there are 10 pairs of white socks and 21 pairs of socks total so the answer is
21:10
7 0
3 years ago
Read 2 more answers
the ratio of weight to mass is constant.which statement describes the ratio of weight to mass and the value of x in the table
anzhelika [568]

HERE IS THE FULL PROBLEM!!!!

the table below lists four names and their corresponding aproximant weights on earth.

________________________________

mass (kilograms)     |     weight (newtons)

      20                     |              196

      50                     |              490

       x                       |            1078

     130                     |             1274

     140                     |              1372

the ratio weight to mass in contant. wich statemen describes the ratio of weight to mass and the value of x in the table?

A. 98/10; X =90

B. 98/10; =110

C. 10/98; X =90

D. 10/98; X= 110

6 0
3 years ago
The rectangle has an area of x square plus 15 square meters and a width of X plus 3
hammer [34]

Answer:

x + 5

Step-by-step explanation:

4 0
3 years ago
19 6/7 divided by 4 1/8
anygoal [31]
<span>4</span>\frac{188}{231}
Hope this helps!
7 0
2 years ago
Prove that the diagonals of a parallelogram bisect each other.<br> The midpoint of AC is
iren2701 [21]

Answer:

Theorem: The diagonals of a parallelogram bisect each other. Proof: Given ABCD, let the diagonals AC and BD intersect at E, we must prove that AE ∼ = CE and BE ∼ = DE. The converse is also true: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • PHYTHAGOREAN THEOREM PLEASE HELP
    15·1 answer
  • The average temperature for four days days was 22 degrees what must the temperature be on the fifth day in order to make 23 degr
    6·1 answer
  • Mrs.Davis bought 6 pounds of grapes for 18 dallors at this rate how much would 72 ounces of grapes have cost
    10·1 answer
  • Vasko was renting a high performance bike. Bike A is $25 per month and requires a down payment of $500. Bike B is $50 per month
    12·1 answer
  • How do you estimate products
    15·2 answers
  • If triangle LMN ~ triangle PON, what is MN?
    12·2 answers
  • Brennan is wrapping a birthday present for his sister. He starts with 2 yards of ribbon. Then, he cuts off 9 inches to decorate
    10·1 answer
  • A class contains 8 boys and 14 girls. Two of the students are to be selected as student council representatives. What is the pro
    12·1 answer
  • Whats the slope for 3x + 2y = -10
    14·2 answers
  • Which two numbers have a 3 that is 10 times the value of the 3 in 1,249.35?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!