Question

There were 299 tickets sold for a basketball game. The activity cardholders' tickets cost $1.25 and the

non-cardholders' tickets cost $2.50. The total amount of money collected was $563.75. How many of each kind of
ticket were sold?

Answer 1

non-cardholder: 152

cardholder: 147

Explanation:

Lets make a system of equations

c=cardholder

n=non-cardholder

1. c + n = 299

2. 1.25c + 2.50n = 563.75

Write 1 as n = 299-c

Write 2 as cents, 125c + 250n = 56375

n= 299-c

125c + 250n = 56375

Substitute n with 299 - c

125c + 250(299-c) = 56375

125c + 74750 - 250c = 56375

74750 - 125c = 56375

125c = 18375

c = 147

n = 299 - c

n = 299 - c = 152

Hope this helps :)

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