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ElenaW [278]
3 years ago
8

Seventy concert tickets are sold for 550$.Each adult ticket cost 9$ and each children’s ticket cost 5$.Find the number of adult

tickets and the number of children’s tickets sold
Mathematics
1 answer:
Afina-wow [57]3 years ago
4 0

50 adult tickets and 20 children tickets were sold for the concert.

Step-by-step explanation:

Given,

Number of concert tickets sold = 70

Revenue generated = $550

Cost of each adult ticket = $9

Cost of each child ticket = $5

Let,

x be the number of adult tickets sold

y be the number of child tickets sold

According to given statement;

x+y=70        Eqn 1

9x+5y=550    Eqn 2

Multiplying Eqn 1 by 5

5(x+y=70)\\5x+5y=350\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(9x+5y)-(5x+5y)=550-350\\9x+5y-5x-5y=200\\4x=200

Dividing both sides by 4

\frac{4x}{4}=\frac{200}{4}\\x=50

Putting x=50 in Eqn 1

50+y=70\\y=70-50\\y=20

50 adult tickets and 20 children tickets were sold for the concert.

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/8099064
  • brainly.com/question/7699864

#LearnwithBrainly

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The measurement of a central angle is 75. Find the measurement of <br> in radians
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Negative x + 6y = 16 and 8x - 6y = -2 which statements about the system of equations are true check all that are apply the x var
MakcuM [25]

Answer:

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Step-by-step explanation:

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the x variable will be eliminating when adding the system of equations and the

y variable will be elimited when adding the system of equations

or the sum of the system equations is negative 8X = 14 or

x = 2 or y = 3

or there's only one solution to the system equations

4 0
2 years ago
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