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worty [1.4K]
3 years ago
12

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 student

s in band for every 7 students in chorus.Which class has a greater ratio of students in band to students in chorus?
Mathematics
1 answer:
erastova [34]3 years ago
6 0

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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