If two adults and three children go to the movies, it costs $31.50. lf one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket?

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Answer 1 · 2016-12-10T11:49:30

The cost of one ticket of adult is #$7.5#

Let the cost of one ticket of child is #$x#

And the cost of one ticket of adult is #$y#

By condition given,
#2y+3x = 31.50# (1) and

#y+5x = 35.00# (2) Multiplying equation (1) by #5# and equation (2) by #3# we get, #10y+15x=157.50# (3) and

           # 3y+ 15x=105.00# (4)  Subtracting equation (4) from eqn.(3)

we get , #7y=52.50 or y=$7.5#

The cost of one ticket of adult is #$7.5#[Ans]