Question

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?

Answer 1

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

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

Explanation:

Answer 2

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

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