Question 572247: Tickets for adults cost 2.00 and tickets for kids cost 1.00. If 175 people attended and the total amount of money made was 255, how many students attended the game
Answer by mathsmiles(68)   (Show Source):
You can put this solution on YOUR website! Adult tickets are 2.00. Let's use A to mean the number of adult tickets
Kids tickets are 1.00. Let's use K to mean the number of kids tickets.
A + K = 175 since the total number of people was 175
The amount of money is $2 times the number of adults plus $1 times the number of kids, so
2A + 1K = 255
Now we have 2 equations:
2A + K = 255
A + K = 175
Using elimination method, subtract the above two equations vertically giving
2A + K = 255
-A - K = -175
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A = 80
There were 80 adult tickets.
If the total of adult and kids tickets is 175, this leave 95 kids tickets.
One final check:
2A + K = 255
2(80) + 95 = 255
160 + 95 = 255
255 = 255 Correct!
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