ickets at an amusement park cost $55 for adults and $36 for children. 1,840 tick

Question

ickets at an amusement park cost $55 for adults and $36 for children. 1,840 tickets were totaling $75,3 60 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.r and y, corresponding to the information given about the ticket sales at the amusement park. involving variables x and y, corresponding to the information Equation: Equation: Solution: (b) Find the solution of your system of equations from part (a). (c) Interpret the solution in a sentence, in terms of ticket sales at the amusement park. Sentence:

Explanation / Answer

a) 55x + 36y = 75360

x+y= 1840

b) y = 1840-x , putting in first equation:

55x + 36(1840-x)= 75360

55x + 66240 -36x = 75360

19x = 9120

x = 480

so , y = 1840-480 = 1360

c) 480 Tickets sold to adult and 1360 tickets to child

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