Question

There are 526 tickets sold for a basketball game. The activity cardholders tickets cost 2.25 and the non cardholders tickets cost 3.25. the total amount of money collected was $1034.50.
How many of each kind of ticket were sold?

Answer 1

@ganeshie8

Answer 2

say, # of card holder tickets = \(c\)
# of noncard holder tickets = \(n\)

Answer 3

lets try and translate the given information into system of equations

Answer 4

`There are 526 tickets sold for a basketball game`

\(\large c + n = 526 \tag{1}\)

Answer 5

`The activity cardholders tickets cost 2.25 and the non cardholders tickets cost 3.25. the total amount of money collected was $1034.50.`

\(\large 2.25c + 3.25n = 1034.5 \tag{2}\)

Answer 6

two equations and two unknowns
anybody can solve

Answer 7

letcardholders e m and non cardholders be n
\[m+n=526\]
\[2.25m+3.25n=1034.50\]
\[m=526-n\]
substitute
\[2.25(526-n)+3.25n=103.50\]
simplify from here