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

Question

3 years ago

8

tickets and the number of children’s tickets sold

1 answer:

Afina-wow [57] · Answer 1 · 2022-02-03T01:45:15+03:00

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

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