the ratio of strings to woodwind instruments in a baroque orchestra is 5:3. if there are 24 instruments in total, how many stringed instruments are there in the orchestra?
the ratio of strings to woodwind instruments in a baroque orchestra is 5:3. if there are 24 instruments in total, how many stringed instruments are there in the orchestra?
Why did the violin go to the orchestra? Because it wanted to be a string star!
Now, let's solve your question. If we have a ratio of 5:3 and a total of 24 instruments, we can think of the ratio as 5x:3x, where x is a constant.
So, the total number of instruments can be expressed as 5x + 3x = 24.
Combining like terms, we have 8x = 24.
Dividing both sides by 8, we find that x = 3.
Now, substituting x back into our ratio, we have 5(3) = 15.
Therefore, there are 15 stringed instruments in the baroque orchestra.
To find the number of stringed instruments in the orchestra, we need to first determine the total number of parts in the ratio.
The ratio of strings to woodwind instruments is 5:3, which means the total number of parts is 5 + 3 = 8.
Since the total number of instruments in the orchestra is 24, we can divide the total number of instruments by the total number of parts to find the number of instruments per part: 24 / 8 = 3.
Now, we can multiply the number of instruments per part by the number of parts for strings to find the number of stringed instruments: 3 * 5 = 15.
Therefore, there are 15 stringed instruments in the orchestra.
To find the number of stringed instruments in the orchestra, you can use the given ratio and the total number of instruments.
1. First, let's determine the total number of parts in the ratio. The ratio of strings to woodwind instruments is 5:3, which means there are a total of 5 + 3 = 8 parts.
2. We know that the total number of instruments is 24. To determine the value of one part, divide the total number of instruments by the number of parts in the ratio. So, 24 ÷ 8 = 3.
3. Now that we know the value of one part, we can multiply it by the number of parts corresponding to the strings. In this case, there are 5 parts corresponding to strings. Thus, 3 × 5 = 15.
Therefore, there are 15 stringed instruments in the baroque orchestra.
can you solve 5x + 3x = 24
then find 5x and 3x