Mathematics High School

28775 tickets are sold for a football match. Children’s tickets cost £15. The ratio of children to adults is 9:16.
If the total ticket sales makes £615785, what is the difference between the price of an adults ticket and a children’s ticket?

Answers

Answer 1

Answer:

Difference = £10

Step-by-step explanation:

Represent adult with A and children with C

[tex]A + C = 28775[/tex]

[tex]C : A = 9 : 16[/tex]

[tex]Sales = 615785[/tex]

Required

Determine the difference in price of both tickets

[tex]A + C = 28775[/tex]

Convert ratio to fraction

[tex]C : A = 9 : 16[/tex]

[tex]\frac{C}{A} = \frac{9}{16}[/tex]

Cross Multiply

[tex]16C = 9A[/tex]

Make C the subject

[tex]C = \frac{9}{16}A[/tex]

Substitute [tex]C = \frac{9}{16}A[/tex] in [tex]A + C = 28775[/tex]

[tex]A + \frac{9}{16}A = 28775[/tex]

Take LCM

[tex]\frac{16A + 9A}{16} = 28775[/tex]

[tex]\frac{25A}{16} = 28775[/tex]

Multiply both sides by 16

[tex]16 * \frac{25A}{16} = 28775*16[/tex]

[tex]25A= 28775*16[/tex]

[tex]25A= 460400[/tex]

Make A the subject

[tex]A = \frac{460400}{25}[/tex]

[tex]A = 18416[/tex]

Substitute 18416 for A in [tex]C = \frac{9}{16}A[/tex]

[tex]C = \frac{9}{16} * 18416[/tex]

[tex]C = \frac{9* 18416}{16}[/tex]

[tex]C = \frac{165744}{16}[/tex]

[tex]C = 10359[/tex]

If a children ticket costs £15, then total children tickets cost:

[tex]Children = 10359 * 15[/tex]

[tex]Children = 155385[/tex]

The total sales is given as:

[tex]Sales = 615785[/tex]

So, the total cost of adult ticket is:

[tex]Adults = 615785 - 155385[/tex]

[tex]Adults = 460400[/tex]

Recall that number of adults is: 18416

So, an adult ticket costs

[tex]An\ adult\ ticket = \frac{460400}{18416 }[/tex]

[tex]An\ adult\ ticket = 25[/tex]

So, we have that:

Children Ticket = £15

Adult Ticket = £25

The difference is:

Difference = £25 - £15

Difference = £10

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Answers

Answer:

yea its right here

Step-by-step explanation: sike

Keenan measured a community college and made a scale drawing. The scale of the drawing
was 1 centimeter : 9 meters. If the actual width of a building at the college is 90 meters, how
wide is the building in the drawing?

Answers

Answer:

The answer is 10 centimeters

Step-by-step explanation:

If 1 cm on the map = 9 meters. 10cm would be 90 meters. Hope this helps!

Answer:

drawing = 10 cm for the width.

Step-by-step explanation:

1 cm / 9 m = x / 90 m

If the meters go on the bottom in the left ratio, they must go on the bottom on the right ratio. In this case the cm is the unknown and it must go on the top with no units.

Cross multliply

9 m * x = 90m * 1cm        

Divide by 9

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What is...
1. 4x = -36
2. 5x - 15 = 50
3. 4(x + 2) - 17 = 35
4. 6x + 12 = 4x - 18
5. 1/2 (4x - 10) + 5 = x - 11

Answers

Step-by-step explanation:

1Ans: 4x = -36

× = -36/4

× = -9

2Ans: 5x -15 = 50

5x = 50 + 15

5x = 65

x = 65/5

x = 13

3Ans: 4(x + 2) -17 = 35

4x +8 -17 = 35

4x -9 = 35

4x = 35 +9

4x = 44

x = 44/4

x = 11

4Ans: 6x +12 = 4x -18

6x -4x = -18 -12

+2x = -30

x = -30/+2

x = -15

5Ans: 1/2 (4x -10) +5 = x -11

0.5 (4x -10) +5 = x -11

2x -5 +5 = x -11

2x = x -11

2x - x = -11

1x = -11

x = -11/1

x = -11

math pls help dhsjdjdjdj​

Answers

Answer:

2350 is 88.68% of 2650.

Step-by-step explanation:

2350/2650

hopefully, i'm right :)

PLEASE HELP. WILL GIVE BRAINLIEST AND WORTH 60 POINTS.

Solve each equation using substitution. Answers are on the right and questions are on the left.

Answers

Answer:

Q1. No solutionQ2. (5, 6)Q3. Infinitely many solutionsQ4. No solutionQ5. (2, 3)

Step-by-step explanation:

Q1.

y = -1/3x - 1x + 3y = -12

Solution

x + 3(-1/3x - 1) = -12x - x - 3 = -12-3 = -12

No solution

Q2

y = 2x - 4y = x + 1

Solution

2x - 4 = x + 1x = 5y = 6

(5, 6)

Q3

y = -3x + 36x + 2y = 6

Solution

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Infinitely many solutions

Q4

- 5x + y = 1- 10x + 2y = -2 ⇒ -5x + y = -1

Solution

1 = -1

No solution

Q5

y = 1/2x + 2y = x + 1

Solution

1/2x + 2 = x + 11/2x = 1x = 2y = 3

(2, 3)

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Answers

Answer: the longest side of a triangle is always the opposite side of the largest angle

Step-by-step explanation:

Line segment DF ☺️

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Answers

Answer :

Step-by-step explanation:

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Answers

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Answers

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The graph shows the relationship between the number of pizzas and the number of people the pizzas will feed at a party How
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10
x
B
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Answers

Answer:

12 homie

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

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Answers

Answer:

i=0.099

PMT (annual payment needed) $11,309

PV of perpetuity

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Answer:

ok so i think it is i=0.099

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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D

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

ANSWER: C. 80

10(n-6)
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Answers

Answer:

2i - (-3 + i)

Step-by-step explanation:

I think this is it. Sorry if it's wrong

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

3.
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Answers

Answer:

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Answers

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Answers

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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