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 $395. How many sophomores bought tickets? 55 75 90 95

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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 $395. How many sophomores bought tickets? 55 75 90 95

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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Use a system of equations; You know there are 150 students total. f+s=150 You know the price of the tickets and the fee per freshmen/sophomore. 2f+3s=395
f+s=150 2f+3s=395 ---------- Simultaneously solving 2 equations in 2 unknowns, f and s, by substitution f + s = 150 f = 150 - s 2(150 - s) + 3s = 395 300 - 2s + 3s = 395 300 + s = 395 s = 95 -----> number of sophomores f = 150 - 95 = 55 ---> number of freshmen

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