At Janine's party ,the orchestra has 10 guitar players and 8 flute payers .at jakes party the orchestra has 12 guitar players if the ratio of guitar players to flute players is the same at both parties ,how many flute players are there at jakes
10/8 = 12/x
Cross multiply and solve for x.
To find out the number of flute players at Jake's party, we need to use the information given about the ratio of guitar players to flute players at both parties.
Let's start by finding the ratio of guitar players to flute players at Janine's party. We know that there are 10 guitar players and 8 flute players:
Guitar players : Flute players = 10 : 8
To simplify the ratio, we can divide both numbers by their greatest common divisor (GCD), which in this case is 2:
Guitar players : Flute players = 5 : 4
Now, according to the given information, the ratio of guitar players to flute players is the same at Jake's party. We are told that at Jake's party, there are 12 guitar players. We need to find the number of flute players.
We can use the ratio we found earlier to determine the number of flute players at Jake's party. The ratio is:
Guitar players : Flute players = 5 : 4
Using this ratio, we can set up the following proportion:
5/4 = 12/x
To solve for x, we cross-multiply and then divide by 5:
4 * 12 = 5x
48 = 5x
x = 48/5
Therefore, there are approximately 9.6 flute players at Jake's party. However, since we can't have a fraction of a person, we need to round the answer to the nearest whole number. Hence, there are 10 flute players at Jake's party.