A sport’s fan spent a total of $450 on baseball tickets. if only $4 and $5 tickets were bought, and there was an equal number at each price, how many $5 tickets were bought?

Respuesta :

equal number at each price?
does that mean there were an equal number of 4 dollar as 5 dollar tickets?

alrighty

so 4+5=9

450/9=50

50 four dollar tickets
50 five dollar tickets

Answer:  There were 50 tickets of $5 that were bought.

Step-by-step explanation:  Given that a sport's fan spent a total of $450 on baseball tickets and only $4 and $5 tickets were bought. Also, there was an equal number at each price.

We are to find the number of $5 tickets bought.

Let n be the number of $4 and $5 tickets that were bought.

Then, according to the given information, we have

[tex]4\timesn+5\timesn=450\\\\\Rightarrow 4n+5n=450\\\\\Rightarrow 9n=450\\\\\Rightarrow n=\dfrac{450}{9}\\\\\Rightarrow n=50.[/tex]

Thus, there were 50 tickets of $5 that were bought.