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3 years ago

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at a charity basketball game, 450 tickets were sold to students at a school. The remaining x tickets were sold to the public. Th

e prices of the two types of tickets are shown. When all the tickets were sold, $10,500 was collected. How many tickets were sold to the public?

1 answer:

VladimirAG [237]3 years ago

6 0

Answer:

The number of tickets sold to the public was 375

Step-by-step explanation:

<u><em>The complete question is</em></u>

At a charity basketball game, 450 tickets were sold to students at a school. The remaining x tickets were sold to the public. The students paid $15 and public $25. When all the tickets were sold, $10,500 was collected. How many tickets were sold to the public?

Let

x ----> number of tickets sold to the students

y ----> number of tickets sold to the public

we know that

$x+y=450$ ----> equation A

$15x+25y=10,500$ ----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (75,375)

see the attached figure

therefore

The number of tickets sold to the public was 375

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