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An individual is selling tickets for a new movie that just came out. The first night the individual sold 45 Senior tickets and 92 Adult tickets. The second night, the individual sold 26 Senior tickets and 45 Adult tickets. Which night did the individual sell a higher ratio of Senior tickets to Adult tickets?

Sagot :

Step-by-step explanation:

the ratio senior to adult tickets on the first night :

45/92

the ratio on the second night :

26/45

which ratio is higher ? that means we have to determine which fraction is bigger.

the simplest and fastest way to compare them is to bring them to the same denominator (bottom part).

and the simplest way to do that is simply by multiplying the numerator and denominator of each fraction by the denominator of the other fraction :

45/92 × 45/45 = 2025 / 4140

26/45 × 92/92 = 2392 / 4140 (this is therefore bigger)

so, the ratio on the second night is higher.