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
Natasha2012 [34]
3 years ago
12

At a high school championship game 1200 tickets were sold. Student tickets cost $1.50 each and adult tickets cost $5.00 each. Th

e total revenue collected for the game was $3200. How many of each ticket were sold for the game?
Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

Students= 800

Adults= 400

Step-by-step explanation:

Given data

number of tickets= 1200

let students be x

and adults be y

x+y= 1200--------------------1

'

The total revenue collected for the game was $3200

so

1.5x+5y=3200-------------2

Solve 1 and 2 for x and y

x= 1200-y

put this is 2

1.5( 1200-y)+5y=3200-------------2

1800-1.5y+5y= 3200

3.5y= 3200-1800

3.5y=1400

Divide both sides by 3.5

y= 1400/3.5

y=400

Put y= 400 in 1

x+400= 1200

x= 1200-400

x=800

You might be interested in
George is considering two different investment options. The first option offers 7.4% per year simple interest on the
jok3333 [9.3K]

Answer:

Part A: The value of the simple interest investment at the end of three years is $12,220

Part B: The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C: The simple interest investment is better over the first three years

Part D: I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Step-by-step explanation:

Part A:

A = P + P r t, where

  • A represents the value of the investment
  • P represents the original amount
  • r represents the  rate in decimal
  • t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ First option offers 7.4% per year simple interest

∴ r = 7.4% = 7.4 ÷ 100 = 0.074

∵ He may not withdraw any of  the money for three years after

   the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ A = 10,000 + 10,000(0.074)(3)

∴ A = 10,000 + 2,220

∴ A = 12,220

The value of the simple interest investment at the end of three years is $12,220

Part B:

A=P(1+\frac{r}{n})^{nt}, where

  • A represents the value of the investment
  • P represents the original amount
  • r represents the  rate in decimal
  • n is a number of periods of a year
  • t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ The second option offers a 6.5% interest rate compounded quarterly

∴ r = 6.5% = 6.5 ÷ 100 = 0.065

∴ n = 4 ⇒ quarterly

∵ He may not withdraw any of  the money for three years after

   the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ A=10,000(1+\frac{0.065}{4})^{(4)(3)}

∴ A=10,000(1.01625)^{12}

∴ A = 12,134.08

The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C:

∵ 12,220 > 12,134.08

∴ The simplest interest investment is better than the compounded

    interest investment at the end of three years

The simple interest investment is better over the first three years

Part D:

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Look to the attached graph below

  • The red line represents the simple interest investment
  • The blue curve represents the compounded interest investment
  • (Each 1 unit in the vertical axis represents $1000)
  • After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest
  • After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

4 0
3 years ago
Writing all Solving Linear Equations in Ule vaDe
zhannawk [14.2K]
P=6.50*10-18.00
hope this helped!❤️
3 0
2 years ago
Read 2 more answers
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).<br> PLZZ HELPPP
kirill [66]

This the answer

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).

PLZZ HELPPP

2x-3

6 0
2 years ago
Is the following conditional true? If two angles are complementary, then their measures add up to 90 degrees.
ale4655 [162]

Answer: Yes, it is true

Step-by-step explanation:

3 0
2 years ago
Helpppppp I’m marking brainliest
snow_tiger [21]

Answer:

So it's 1/6x2/3 which is 0.111111 in decimal since on there I can see you can't submit it in fractions! :D

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Which representation has a constant of variation of –2.5? A x –2 –3 –4 –5 y –5 –7.5 –10 –12.5 B 5 x + 2 y = 0 C y = negative 2.5
    9·2 answers
  • What would I have to do here? Somebody please help me! (Look at the bottom problem not the top)
    9·1 answer
  • Two skateboarders start a race at the same time. Skateboarder A travels at a steady rate of 15 feet per second. Skateboarder B t
    6·1 answer
  • Explain one way to find the height of a trapezoid if you know the area of the trapezoid and the length of both bases.
    10·1 answer
  • Reflect triangle A in the line y=x
    11·1 answer
  • It takes 1 worker 15 hours to paint a room. it takes 3 workers 5 hours to paint the same room. martin wrote the function, y = -5
    14·1 answer
  • Rocky simplified an expression in three steps, as shown:
    14·2 answers
  • The actual mechanical advantage of a machine
    12·2 answers
  • The diagram below is a kite. Find the slope of each side of the kite then use that information to explain why the kite is NOT a
    12·1 answer
  • Can someone help me with #19
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!