Tickets for a school carnival cost 10$ for adult and 5 for children. last Saturday carnival sold 170 tickets worth a total of $1

Question

3 years ago

5

200 . How many adults and childeren attended the carnival

1 answer:

riadik2000 [5.3K] · Answer 1 · 2022-03-15T04:28:31+03:00

70 adults and 100 children attended the carnival.

Step-by-step explanation:

Given,

Cost of each adult ticket = $10

Cost of each child ticket = $5

Total tickets sold = 170

Total revenue generated = $1200

Let,

Number of adults = x

Number of children = y

According to given statement;

x+y=170 Eqn 1

10x+5y=1200 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=170)\\10x+10y=1700\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(10x+10y)-(10x+5y)=1700-1200\\10x+10y-10x-5y=500\\5y=500$

Dividing both sides by 5

$\frac{5y}{5}=\frac{500}{5}\\y=100$

Putting y=100 in Eqn 1

$x+100=170\\x=170-100\\x=70$

70 adults and 100 children attended the carnival.

Keywords: linear equation, elimination method

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