There were 150 freshman and sophomores at the high school musical Reese and her friends attended. Freshman tickets were $2.00 each and sophomore tickets were $3.00 each. The receipts for freshman and sophomore tickets totaled $400. How many sophomores bought tickets? Answer 75 100 25 50

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There were 150 freshman and sophomores at the high school musical Reese and her friends attended. Freshman tickets were $2.00 each and sophomore tickets were $3.00 each. The receipts for freshman and sophomore tickets totaled $400. How many sophomores bought tickets? Answer 75 100 25 50

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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Do this in your head: If only freshmen attended, there would be only $300. The extra $100 is generated by replacing 100 freshmen tickets with sophomore tickets. So there are 100 sophomores and 50 freshmen.
We know that the total amount of people present is 150 (including sophmores and freshmen) So, let # of sophmores attending = S # of freshmen attending = F So:1) S + F = 150 We also know that for each Freshman, the ticket costs $2.00 each And for Sophmores, they cost $3.00 per person And we know that in total, $400 was spent. So 2) 2F + 3S = 400 Rearranging 1) for S gives us: S = 150-F And substitution that into 2), gives us 2F + 3(150 - F) = 400 Isolating for F, we get: F = 50, and using that number in 1) S = 100

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