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
Sphinxa [80]
2 years ago
8

Callie and Madison went to buy concert tickets for themselves and their five friends. The

Mathematics
1 answer:
nika2105 [10]2 years ago
5 0

Answer:

They bought 0 ticket of closest section and 7 tickets of other section

Step-by-step explanation:

- Callie and Madison went to buy concert tickets for themselves and

  their five friends

- That mean they are 7

- Tickets for the closest section were $45 each

- Tickets for other section were $30 each

- They  ended up spending a total of $210

- Assume that they buy x tickets for closest section and y tickets for

 the other section

∵ They want 7 tickets

∴ x + y = 7 ⇒ (1)

∵ The cost of the closest section ticket was $45

∵ The cost of the other section ticket was $30

∵ They spent $210 on them

∴ 45x + 30y = 210

- All terms have common factor 15, then divide them by 15

∴ 3x + 2y = 14 ⇒ (2)

* Now we have a system of equations to solve

- Multiply equation (1) by -2 to eliminate y

∴ -2x - 2y = -14 ⇒ (3)

- Add equations (2) and (3)

∴ x = 0

- substitute the value of x in equation (1) to find y

∴ 0 + y = 7

∴ y = 7

∵ x represents the number of tickets of the closest section and y

  represents the number of tickets in the other section

∴ They bought 0 ticket of closest section and 7 tickets of other

   section

You might be interested in
Dana has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the ra
Sedaia [141]

Answer:

2hrs 40 minutes

Step-by-step explanation:

The formula for distance is expressed as:

d=st, s=speed, t=time

#The time taken to run:

d=st\\\\t=d/s\\\\t_r=d/8

#The time taken to walk:

d=st\\\\t=d/s\\\\t_w=d/2

#Since the distances are the same:

d_r=8t_r,d_w=2t_w\\\\8t_r=2t_w\\\\t_r+t_w=4->t_w=4-t_r\\\\\therefore8t_r=2(4-t_r)\\\\8t_r=8-2t_r\\\\t_r=1\frac{1}{3} \hrs\\\\t_w=4-1\frac{1}{3}=2\frac{2}{3}\ hrs

Hence, Dana spends 2hrs 40 minutes walking back

8 0
3 years ago
Simplify . need help
mezya [45]
I hope this helps you

3 0
3 years ago
Read 2 more answers
Tickets to a school play cost $3 for each student and $8 for each parent. What would be the best choice for variable(s) when wri
algol13
Best choice for variables.....I would let students be " s " and parents be " p "
7 0
3 years ago
How many times does 9 go in to 8
Wittaler [7]

Answer:

0.89

Step-by-step explanation:

6 0
3 years ago
What is the highest 7th grade math class you can take?
NISA [10]

Answer:

honors

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The population of a town was 57,000 in 1980 and 81,000 in 2010. Assume the rate of population increase is constant. What will th
    7·1 answer
  • A manufacturer plans to introduce a new type of shirt based on the following information. The selling price is $57.00; variable
    10·1 answer
  • What is the value of cos(150°)?<br> OF<br> 22<br> -<br> V3<br> 2.<br> 1500<br> 30<br> -
    8·1 answer
  • Nat opened an account that earns 1.4% simple annual interest. He will earn $21 total interest after 3 years. How much did he dep
    9·1 answer
  • Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inc
    6·2 answers
  • What is the solution to the equation x + 3.75 = 24?
    14·2 answers
  • URGENT!!!! whom gets this and answers right gets extra! What is the average speed of a bike rider who rides for 3 hours at 40km/
    11·1 answer
  • Find the area of the triangle below, round your answer to the nearest hundredth.
    7·1 answer
  • What is the value of y in the equation 2(2y – 14) = 0? (​
    7·2 answers
  • Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!