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7 March, 11:25

In Mrs. Washington's class, there are 2 students in band for every 3 students in chorus. In Mr. Utley's class, there are 5 students in band for every 7 students in chorus. Which class has a greater ratio of students in band to students in chorus?

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  1. 7 March, 13:57
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    Mr. Utley's class has a greater band to chorus student ratio

    Step-by-step explanation:

    Step 1:

    Number of students in band in Mrs. Washington's class = 2 for every 3 students in chorus.

    Number of students in band in Mr. Utley's class class = 5 for every 7 students in chorus.

    Hence

    the ratio of band students to chorus students in Mrs. Washington's class = 2 : 3

    the ratio of band students to chorus students in Mr. Utley's class = 5 : 7

    We need to determine which is the greater ratio

    Step 2:

    Ratio 1 = 2: 3

    Ratio 2 = 5:7

    Converting to common denominator we have

    Ratio 1 = 14 : 21 and ratio 2 = 15:21

    So the ratio 15:21 = 5:7 of Mr. Utley's class is greater

    Step 3:

    Answer:

    Mr. Utley's class has a greater band to chorus student ratio
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