: Musical Middle School has flute players out of band students. Instrumental Middle School has flute players out of students. Which school has the higher ratio of flute players?
To determine which school has the higher ratio of flute players, we need to compare the ratios of flute players to the total number of students at each school.
Let's assume Musical Middle School has 100 band students, with 20 flute players.
Therefore, the ratio of flute players to band students at Musical Middle School would be 20/100 = 1/5.
Now let's assume Instrumental Middle School has 200 students, with 40 flute players.
Therefore, the ratio of flute players to students at Instrumental Middle School would be 40/200 = 1/5.
Both schools have the same ratio of flute players to students, which is 1/5. Therefore, they have an equal ratio of flute players.
To determine which school has the higher ratio of flute players, we need to compare the number of flute players to the total number of students in each school. Let's denote the number of flute players in Musical Middle School as "M" and the total number of band students as "B." Similarly, let's denote the number of flute players in Instrumental Middle School as "I" and the total number of students in that school as "T."
Given that Musical Middle School has M flute players out of B band students, the ratio of flute players to band students in Musical Middle School can be represented as M/B.
Similarly, Instrumental Middle School has I flute players out of T students, and the ratio of flute players to total students in Instrumental Middle School can be represented as I/T.
To determine which school has the higher ratio of flute players, we need to compare the values of M/B and I/T.
Please provide the specific values for M, B, I, and T in order to calculate the ratios and determine which school has the higher ratio.