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!