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An individual is selling tickets for a new movie that just came out. The first night the individual sold $24$ Senior tickets and $48$ Adult tickets. The second night, the individual sold $28$ Senior tickets and $56$ Adult tickets. Which night did the individual sell a higher ratio of Senior tickets to Adult tickets?

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Solve proportions: word problems

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Q. An individual is selling tickets for a new movie that just came out. The first night the individual sold

24

Senior tickets and

48

Adult tickets. The second night, the individual sold

28

Senior tickets and

56

Adult tickets. Which night did the individual sell a higher ratio of Senior tickets to Adult tickets?

Calculate Ratio First Night: Calculate the ratio of Senior to Adult tickets for the first night. $\newline$ Ratio = Senior tickets / Adult tickets $\newline$ Ratio = $\frac{24}{48}$ $\newline$ Ratio = $0.5$
Calculate Ratio Second Night: Calculate the ratio of Senior to Adult tickets for the second night. $\newline$ Ratio = $\frac{\text{Senior tickets}}{\text{Adult tickets}}$ $\newline$ Ratio = $\frac{28}{56}$ $\newline$ Ratio = $0.5$
Compare Ratios: Compare the ratios from both nights. $\newline$ First night ratio = $0.5$ $\newline$ Second night ratio = $0.5$ $\newline$ Since the ratios are the same, neither night had a higher ratio of Senior to Adult tickets.

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