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In an after school program for juniors and seniors, there is a debate team with an equal number of students from each class on the team. Among the 28 students in the program, 25% of the juniors and 10% of the seniors are on the debate team. How many juniors are in the program?

 

This doesn't make sense because it says an equal number from each class are on the team which should mean that it's 14 for each, but that's not an answer choice. 

 Feb 10, 2021
 #1
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+2

There are 28 students in the program

   the program has a debate team made of = seniors juniors

                   soooo   25% of the juniors = 10% of the seniors   

                                    .25j = .1s       and    j+s = 28

                                                                    s = 28-j

                                     

                                     .25 j = .1(28-j)

                                      .25j + .1j = 2.8

                                      .35j = 2.8

                                           j = 8                   8 juniors are in the program

 Feb 10, 2021
 #2
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+2

beat me to it. Good job cool

Elijah  Feb 10, 2021
 #3
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+1

Makes sense now. Thanks!

Guest Feb 10, 2021
 #4
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+1

This is an AMC 10B Question, taken today. Looks like Guest was cheating...

 Feb 11, 2021
 #5
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0

Yeah exactly

PranavIyer1  Feb 11, 2021

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