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
tekilochka [14]
3 years ago
14

At the movie theatre, child admission is $5.30 and adult admission is $9.70. On Wednesday, 156 tickets were sold for a total sal

es of $1077.60. How many adult tickets were sold that day?
Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

Answer:

The number of adult tickets are 57.

Step-by-step explanation:

Given,

Total number of tickets = 156

Total money = $1077.60

Solution,

Let the number of adult be x and of child be y .

So, Total number of tickets = Number of adults + Number of child

\therefore x+y = 156\ \ \ \ \ \ equation\ 1

Now, according to question;

Total money = Number\ of\ adults\times admission\ fee + Number\ of\ child\times admission\ fee

\therefore x\times 9.70+y\times 5.30 = 1077.60\ \ \ \ \ \ equation\ 2

On multiplying by 10 on both side, we get;

97x+53y=10776\ \ \ \ \ \ equation\ 3

Now multiplying equation 1 by 53 then subtract it from equation 3, we get;

(x+y)\times53 = 156\times53\\53x+53y=8268\\(97x+53y=10776)-(53x+53y=8268)\\44x=2508\\x=\frac{2508}{44} =57

Since x is the  number of adults,

Number of adults=57

Number of child = y = 156-57=99

Thus the number of adult tickets are 57.

You might be interested in
How to solve it and the answer
Mandarinka [93]
11.397058
comment If you want me to show my work
8 0
3 years ago
What is the gcf of 99 and 132?
jek_recluse [69]
<span>The Greates Common Factor (GCF) is:   3 x 11 = 33</span>
8 0
3 years ago
Perform the following calculations. To calculate the number of pounds of meat required to feed diners do the following: for poul
Kitty [74]

Answer:

28.58 pounds, about 29 pounds

Step-by-step explanation:

Poultry meat with bones ; divide number to be served by 2.5

Meat with little or no bone ; divide number to be served by 3.5

If number of guests to be served = 100

Meat served = 100

The number of pounds of chicken required :

Number of guests to be served / meat served

Hence,

100 / 3.5

= 28.58 ; which is about 29 pounds

7 0
2 years ago
Debra can run 20.5 miles in 2.5 hours how many miles per hour can she run math problems
pashok25 [27]
She can run 20.5/2.5 equaling 8.2mph
7 0
3 years ago
A <br> B<br> C <br> Which one is it
OverLord2011 [107]

Answer:

the answer is c

Step-by-step explanation:

because it has more orange juice

4 0
2 years ago
Read 2 more answers
Other questions:
  • julia has 3 1/2 pounds of dog food. she plans to split it equally among her 7 dogs. how much dog food will each dog receive
    5·2 answers
  • At the end of the day, a pharmacist counted and found she has 4/3 as many prescriptions for antibiotics as she did tranquilizers
    8·1 answer
  • Which statement defines an annuity? A. a retirement plan offered by employers B. a group of investments that many individual inv
    14·2 answers
  • Find the product of x^2+6x-5 and -3x+2
    11·2 answers
  • Suppose a granola bar company estimates that its monthly cost is
    9·1 answer
  • How do you solve 4devided by <br> 12 step by step long division
    5·2 answers
  • Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
    15·2 answers
  • Evaluate the expressions below for the given values!
    6·1 answer
  • Calculator
    10·1 answer
  • Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. x 1 5 8 P
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!