Question

The senior class at South High school raised $80,000 from raffle tickets. Tickets cost $150 for a chance to win a Disney Vacation and $200 for a chance to win a car. If a total of 475 tickets were sold, how many were sold for the Vacation and how many were sold for the car?

Answer 1

y = 175. x = 300. Disney vacation is 300 sold. Cars sold were 175.

Explanation:

They want to raise $80,000. There are a total of 475 tickets.

150x + 200y (Disney Vacation + Win a car) = 80,000

x + y = 475.

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y=475-x

150x+200(475-x)=80000

150x+95,000-200x=80,000.

-50x + 95,000 = 80,000.

-50x = -15,000

x = 300.

Disney vacation is 300 sold.

300 + y = 475.

y = 175.

Cars sold were 175.

Additional Info:

I am 14 years old and I'm learning solving the systems by elimination and substitution, etc. Hope this is the correct answer.