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
Doss [256]
3 years ago
15

Kennedy and Olivia go to the movie theater and purchase refreshments for their friends.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price  of popcorn be x

Let the price  of drink be y.

price  of  12 bags of popcorn will be 12x

price  of  2 drinks  will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price  of  3 bags of popcorn will be 3x

price  of  6 drinks  will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

=> x + 2y = 17   _____________(2)

__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

=> -11y = -63.25

=> y = -63.25/-11 = 5.75

as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

=> x = 17 - 11.5

=> x = 5.5

Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

You might be interested in
Which is a better buy, 4 lunches for $57 or 5 lunches for $71?
worty [1.4K]
Answer: 5 lunches for $71 is better
57/4=14.25
71/5=14.2
3 0
3 years ago
HELP
lbvjy [14]
Y=9r, r=r

9r+r=30
10r=30
r=30/10
r=3(Red Sox)

yankee=9(3)=27
3 0
2 years ago
Read 2 more answers
A) y=5x-2
Sholpan [36]

Answer:

Too Much I just wanted poins

Step-by-step explanation:

The answer I put is a riddle to solve the

3 0
2 years ago
In 20X1, Ginzel Corporation agreed to provide a client with 20 detailed marketing analyses of its client's key products for a to
elixir [45]

Answer:

  1. $38,500
  2. $1,400

Step-by-step explanation:

1. According to the Accrual Principle of Accounting, revenue should only recognized when the goods or services for which it was paid for have been delivered. In other words, revenue should only be recognized when earned.

As of December 1, 20X1, Ginzel had only completed 7 of the 20 reports so the revenue recognized should be for the completed reports alone.

Total revenue for 20 reports = $110,000

Revenue for 7 reports = 7/ 20 * 110,000

= $38,500

2. The Accrual principle also applies to expenses and states that expenses should only be accounted for when incurred. As the $4,000 relates to all the reports, it should be apportioned evenly.

The costs of extraction and conversion of data for the year should therefore be;

= 7/20 * 4,000

= $1,400

7 0
2 years ago
Anita went to the store with her friend Myra, she paid $60 for 3 blouses. She bought 2 blouses for herself and one blouse for My
Alborosie

Answer:

20 because she paid 20 for each shirt

Step-by-step explanation:

60/3=20

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is prime power factorization???
    11·1 answer
  • HELP PLEASE!
    7·1 answer
  • Explain how you used the bar model in exercise 2 to find the problem
    9·1 answer
  • What happens to water during evaporation?
    13·2 answers
  • Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight
    13·1 answer
  • Two dice are rolled simultaneously and the difference of the numbers are
    6·1 answer
  • If k-5=10b what is b when k=-90
    14·2 answers
  • I NEED HELP ASAP<br> QUESTION BELOW
    11·1 answer
  • Find the value of y when x equals 0 <br>-7x+3y=30​
    14·1 answer
  • PLEASE HELP I NEED HELP BADDD PLS CORRECT ANSWERS ONLY
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!