Tickets sold at a school football game cost $1.00 each if purchased before the day of the game. They cost 1.50 each if bought at the game. For a particular game, 600 tickets were sold, with receipts of $700. How many tickets were sold at the gate? (Show Work & Answer)

Question

Mathematics

Dominique Randolph

2 May, 12:04

Tickets sold at a school football game cost $1.00 each if purchased before the day of the game. They cost 1.50 each if bought at the game. For a particular game, 600 tickets were sold, with receipts of $700. How many tickets were sold at the gate? (Show Work & Answer)

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Answers (1)

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Aedan · Answer 1

200

Step-by-step explanation:

Let number of tickets sold before game be x while those at the gate be y

Total tickets sold are 600 hence x+y=600

Cost of tickets

Total amount collected is $700 hence

x+1.5y=700

x+y=600

x+1.5y=700

Subtracting equation 1 and 2

0.5y=100 hence y=200