The school that Willie goes to is selling tickets to a school performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 12 student tickets for a total of $213. The school took in $85 on the second day by selling 5 senior citizen tickets and 2 student tickets. What is the price each of one senior citizen and one student ticket?

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The school that Willie goes to is selling tickets to a school performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 12 student tickets for a total of $213. The school took in $85 on the second day by selling 5 senior citizen tickets and 2 student tickets. What is the price each of one senior citizen and one student ticket?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Let x be the price of senior tickets Let y be the price of student tickets Day 1. 3x+12y=$213.00 Day 2. 5x+2y=$85.00 Take day 2 equation and multiply all by 6 so that Day 2. 30x+12y=$510.00 now subtract Day 1 equation Day 1 -3x-12y=-213.00 getting 27x = 297 divide by 27 getting x=$11.00 Senior tickets cost $11.00 substitute in day 1 and find y the students ticket cost 3(11.00)+12y=213.00 33.00 +12y =213.00 subtract 33 from both sides 12y=213.00-33=180.00 divide by 12 y=$15.00 Students ticket cost $15.00 each.
Day 2 equation was multiplied by 6 for the sole reason of getting the y variable to equal 12, so when subtracted from day 1 equation the y value would drop out leaving only x so it could be solved.

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