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
ycow [4]
2 years ago
15

At a concert

Mathematics
1 answer:
Paladinen [302]2 years ago
7 0

Answer:

Each child ticket costs £2

Each adult ticket costs £5

Step-by-step explanation:

Let's define:

C = cost of a child ticket

A = cost of an adult ticket.

We know that:

"3 adult and 4 child tickets cost £23"

This can be written as:

3*A + 4*C = £23

"1 adult and 5 child tickets cost £15"

This can be written as:

1*A + 5*C = £15

Then we have the system of equations:

3*A + 4*C = £23

1*A + 5*C =  £15

To solve it, we start by isolating one of the variables in one of the equations:

Let's isolate A in the second equation:

A = £15 - 5*C

Now let's replace this in the first equation:

3*( £15 - 5*C) + 4*C = £23

Let's solve this for C

£45 - 15*C + 4*C = £23

£45 - 11*C =  £23

£45 - £23 = 11*C

£22 = 11*C

£22/11 = £2 = C

Each child ticket costs £2

And with the equation:

A = £15 - 5*C we can find the price of an adult ticket if we replace the value of C by £2

A = £15 - 5*£2 = £5

Each adult ticket costs £5

You might be interested in
Solve the system of linear equations by substitution.<br> 2x-y=3<br> x+5y=14
adoni [48]
Let 2x – y = 3 ——— equation 1

Let x + 5y = 14 ——— equation 2

Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3

• Put eqn 3 in eqn 2

(y + 3 / 2) + 5y = 14

6y = 14 – 3/2

6y = 25/2

y = 25/12

• put y = 25/12 in eqn 3

x = (25/12 + 3/2)

x = 43/12
4 0
3 years ago
Cynthia is purchasing an electric heater for $181.25, including tax. She gives the sales clerk 2 fifty-dollar bills, 7 ten-dolla
Dafna1 [17]
The answer to the question is C.$0.75
5 0
3 years ago
Read 2 more answers
Plz plz plz will give bianleast plz hlpe
tester [92]
60, 60 and 60 degrees

There are two criteria: the angles have to all be equal and they have to add up to 180 degrees. This answer satisfies both criteria.
7 0
3 years ago
Read 2 more answers
What is the length of segment CD question mark
mars1129 [50]

Answer:

CD = two square root of 10 end square root

Step-by-step explanation:

To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2} \\\\d = \sqrt{(-4--2)^2 + (-7--1)^2} \\\\d = \sqrt{-2^2 + -6^2}\\\\d = \sqrt{4 + 36}\\\\d=\sqrt {40} = 2\sqrt{10}

5 0
3 years ago
Simplify. 14+4(12−34)2 Enter your answer in the box.
Komok [63]
14 + 8(12-34)

14 + 8(-22)
14 - 176

- 162 is your answer

hope this helps
5 0
3 years ago
Read 2 more answers
Other questions:
  • A set of equations is given below:
    11·2 answers
  • Simplify. (3 + 2) + (4 + 3) =
    11·2 answers
  • (7- 5 + 2) ÷ 4 × 10 + 9=​
    13·1 answer
  • Given the equation, y = 1/3 x - 4, what is the slope and the y-intercept?
    15·1 answer
  • Sound travels through sea
    11·1 answer
  • Solve the system of equations. y = x ^ 2 - 3x + 6 y = 2x + 6
    12·1 answer
  • Miriam is going to the county fair. Each ride ticket costs $2 and admission costs $7. Miriam has $25 to spend at the fair.
    9·1 answer
  • A trencher can be rented for $27 an hour or $145 a day. If you need the trencher for 6 hours, how much money
    13·1 answer
  • Solve for D. pls help !!
    10·1 answer
  • Simplify the algebraic expression -30y+(-15y)+70
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!