Mr. Tip is working on the marching band's halftime show. During the first song, rows have 9 musicians each. During the second song, rows change to contain 6 musicians each. If there are a total of 252 musicians in the marching band, how many rows will there be when the musicians are in rows of 6 than when they are arranged in rows of 9?
At one point, while the musicians are changing from rows of 9 to rows of 6, there are 33 rows of musicians. Some are in rows of 9. The others are in rows of 6. How many rows of 9 are there at this point in the performance?
To solve this problem, we can use basic division and subtraction.
First, let's calculate the total number of musicians in rows of 9. We are given that in the marching band's halftime show, there are rows of 9 musicians and the total number of musicians is 252. So, we divide 252 by 9 to find out how many rows of 9 musicians there are.
252 ÷ 9 = 28
Therefore, initially, there are 28 rows of 9 musicians.
Next, let's calculate the total number of musicians in rows of 6. We are given that at some point during the performance, there are 33 rows of musicians in total. Some rows are of 9 musicians, and the others are of 6 musicians. We already know that there are 28 rows of 9 musicians. So, to find the number of rows with 6 musicians, we subtract the number of rows with 9 musicians from the total number of rows.
Total number of rows - Rows of 9 musicians = Rows of 6 musicians
33 - 28 = 5
Therefore, at this point in the performance, there are 5 rows of 6 musicians.
To answer the question of how many rows there will be when the musicians are in rows of 6 instead of 9, we need to find out how many rows there are in total.
We already know that initially there are 28 rows of 9 musicians, and at some point, there are 5 rows of 6 musicians. We can add these two numbers together to find the total number of rows.
Rows of 9 musicians + Rows of 6 musicians = Total number of rows
28 + 5 = 33
So, when the musicians are arranged in rows of 6 instead of 9, there will be a total of 33 rows.