answer.
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
nlexa
4 days ago
11

For the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,6

64. How many adult tickets and how many senior tickets were sold?
?= adult tickets ?= senior tickets
Mathematics
2 answers:
Zina [11.2K]4 days ago
8 0

Let’s denote adult tickets as x and senior tickets as y.

We can derive two equations

x + y = 140

13x + 10y = 1664

To solve this system of equations, we will apply the Gaussian elimination method (progressive elimination of variables)

By multiplying the first equation by (-10), we get

-10x-10y=-1400. Then, by adding this to the second equation, we yield

3x=264 => x=264/3=88 => x=88

Next, we will substitute x back into the initial equation before multiplication to find

88 + y = 140 => y = 140 - 88 = 52 => y = 52

So, the number of adult tickets is x=88 and the number of senior tickets is y=52

Best of luck!!!

Svet_ta [11.3K]4 days ago
7 0

Response:

88 adult tickets and 52 senior tickets

Detailed explanation:

Formulate the equation by adding the total values of each ticket category.

13a+10(140−a)=1,664

By solving this equation for a, we determine the quantity of adult tickets sold.

13a+10(140−a)=1,664

13a−10a+1,400=1,664

3a=1,664

3a=264

Thus a=88

Consequently, with 140 tickets sold, the number of senior tickets is 140−88=52.

You might be interested in
Which of the following best describes the slope of the line below?
tester [10806]
This slope can be described as passing through the origin or more formally, the point (0,0).
5 0
20 days ago
Read 2 more answers
How many natural numbers are there between 8² and 9²​​​
Svet_ta [11363]
Soccer game theory posits that the earliest participants in the game will play.
3 0
1 month ago
Last year the cost of a season ticket for a Rugby club was £370
AnnZ [10979]
8 over 45.

I hope this was helpful.
5 0
25 days ago
Read 2 more answers
A greengrocer sells a melon at a profit of 37.5% on the price he pays for it. what is the ratio the cost price to the selling pr
tester [10806]
\frac{100}{137.5} = \frac{1}{1.375}  I divided by 100 and shifted the decimal point two places left.
4 0
1 month ago
A frog is sitting exactly in the middle of a board that is five feet long. Every ten seconds he jumps one foot to the left or on
PIT_PIT [11108]

Answer:

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in the reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.

Step-by-step explanation:

A frog positioned right at the center of a 5ft long board is 2.5 ft away from either edge.

Every 10 seconds, the frog jumps left or right.

If the frog's jumps are LLRLRL, it will remain on the board at the leftmost square.

If it jumps as LLRLL, it will jump off the board after fifty seconds.

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.
4 0
1 month ago
Other questions:
  • Ming needs 1/2 pint of red paint for an art project. He has 6 jars that have the following amounts of red paint in them. He want
    10·2 answers
  • What are the domain and range of the function on the graph? The domain includes all integers, and the range is y ≥ 0. The domain
    9·1 answer
  • Isabella Is building a tree fort .The base of the fort is 78 inches wide by 92 inches long. What is the area of the base in squa
    9·1 answer
  • Zorah, a musician, pays $120 to have her instrument tuned and $10 per hour for a booth at a fair. She estimates that she earns $
    13·2 answers
  • Work out an estimate for square root of 4.92+2.18*7.31
    8·2 answers
  • Please Help!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • a desert has both fruit and yogurt inside altogether the mass of the desert is 185g the ratio of the mass to fruit to the mass o
    14·2 answers
  • Alice is making an octahedron out of origami. The last step requires her to blow into the octahedron to fill it up.
    12·1 answer
  • "a guest orders a drink that contains 1½ ounces of 80-proof vodka and 12 ounces of beer. approximately how many drinks does this
    13·2 answers
  • A teacher places n seats to form the back row of a classroom layout. Each successive row contains two fewer seats than the prece
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!