Tickets at an amusement park cost 40 for adults and 32 for c

Tickets at an amusement park cost $40 for adults and $32 for children. 1,500 tickets were sold, totaling $53,440 in receipts. Suppose you want to find out how many of each type of ticket were sold. Let x = number of adult tickets sold and y = number of children\'s tickets sold. (a) Write a system of two equations involving variables x and y, corresponding to the information given about the tickets. Equation: _____ Equation: _____ (b) Find the solution of your system of equations from part (a). Solution: _____ (c) Interpret the solution in a sentence, in terms of ticket sales at the amusement park. Sentence: _____

Solution

a)

x+y =1500

40x+32y =53440

b)

x+y =1500 =>y=1500-x

40x+32y =53440

=>40x+(32(1500-x)) =53440

=>40x +48000-32x =53440

=>8x=5440

=>x=5440_/8

=>x=680

y=1500-x, x=680

=>y=1500-680

=>y=820

(c)680 adult tickets and 820 child tickets were sold to generate 53440$ of revenue