An adult ticket to a museum costs $3 more than a children's ticket. When 200 adult tickets and 100 children's tickets are sold, the total revenue is $2100. What is the cost of a children's ticket?

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Answer 1 · 2016-11-04T00:42:40

Let the price of a children's ticket be $x$ and the price of an adult ticket be $y$ .

$y = x + 3$
$100x + 200y = 2100$

Substitute equation 1 into equation 2.

$100x + 200(x + 3) = 2100$

$100x + 200x + 600 = 2100$

$300x = 1500$

$x = 5$

$y = x + 3$

$y = 5 + 3$

$y = 8$

Hence, children's tickets cost $$5$ and adult tickets cost $$8$ .

Hopefully this helps!