Question

The table below describes band members at Mike’s school.

Band Member Knowledge of Instruments


Can Only Play
One
Instrument
Can Play
More than One Instrument
Grade 6
15
6
Grade 7
20
8
Grade 8
18
7

Mike used the computation StartFraction 7 Over (6 + 8 + 7) almost-equals 0.33 = 33 percent to find the percentage of eighth-grade band members who can play more than one instrument. What error did Mike make?
Mike included 7 when finding a sum to use as the denominator of his fraction.
Mike used the total of the column containing 7 as his denominator instead of the total of the row containing 7.
Mike should have used the sum of all the cell values as his denominator.
Mike should have used the number of eighth-grade students who can only play one instrument as the denominator of his fraction.

Answer 1

Given : Band members at Mike’s school.

       Only One Instrument    More than One Instrument

Grade 6          15                 6        

Grade 7          20                8      

Grade 8          18                 7      

Mike used the computation 7 / (6 + 8 + 7) ≈ 0.33 = 33 percent to find the percentage of eighth-grade band members who can play more than one instrument.

To Find : What error did Mike make

Mike included 7 when finding a sum to use as the denominator of his fraction.

Mike used the total of the column containing 7 as his denominator instead of the total of the row containing 7.

Mike should have used the sum of all the cell values as his denominator. Mike should have used the number of eighth-grade students who can only play one instrument as the denominator of his fraction.

Solution:        

       Only One Instrument    More than One Instrument Total

Grade 6          15                 6                         15+ 6 = 21

Grade 7          20                8                       20 + 8 = 28

Grade 8          18                 7                        18 + 7 = 25

Total        (15 + 20 + 18 = 53)    (6 + 8 + 7 = 21)        74

The percentage of eighth-grade band members who can play more than one instrument  = 7 / ( 18 + 7 ) = 7/25 = 0.28 = 28 %

Mike used the computation 7/(6 + 8 + 7) ≈ 0.33 = 33 %

Mike used the total of the column containing 7 as his denominator instead of the total of the row containing 7.

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Answer 2

Answer:

Mike used the total of the column containing 7 as his denominator instead of the total of the row containing 7.

Step-by-step explanation: