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?

Question

Niki

Mathematics

18 May, 03:50

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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Answers (1)

Know the Answer?

Xzavier Keller · Answer 1

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