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?

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

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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