Jed owns a music store and is taking inventory to prepare for a new order. He has organized the count of instruments in the table below. Help Jed analyze his store and place an upcoming order.
Answers
Answer:
String instruments = 13%
Percussion Instruments = 18%
Wind Instruments = 31.8%
Brass Instrument = 37.2%
Step-by-step explanation:
the percent is the number of a certain instrument/ the total amount of instruments:
Total are 65 + 90 + 159 + 186 = 500
String instruments % = 65/500, divide by 5, 13/100 = 13%
Percussion Instruments % = 90/500, divide by 5, 18/100 = 18%
Wind Instruments % = 159/500, divide by 5, 31.8/100 = 31.8%
Brass Instruments % = 186/500, divide by 5, 37.2/100 = 37.2%
Check:
13 + 18 + 31.8 + 37.2 = 31 + 69 = 100, yes
The solution is
a)
The percentage of string instruments in the inventory = 13 %
The percentage of percussion instruments in the inventory = 18 %
The percentage of wind instruments in the inventory = 31.8 %
The percentage of brass instruments in the inventory = 37.2 %
b) The number of percussion instruments Joe should order is 27
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the total number of instruments in the inventory be = A
Now , the equation will be
The number of string instruments = 65
The number of percussion instruments = 90
The number of wind instruments = 159
The number of brass instruments = 186
Now , total number of instruments in the inventory = number of string instruments + number of percussion instruments + number of wind instruments + number of brass instruments
Substituting the values in the equation , we get
Total number of instruments in the inventory = 500
And ,
The percentage of string instruments in the inventory = ( number of string instruments / Total number of instruments in the inventory ) x 100
The percentage of string instruments in the inventory = ( 65/500 ) x 100
The percentage of string instruments in the inventory = 13 %
The percentage of percussion instruments in the inventory = ( number of percussion instruments / Total number of instruments in the inventory ) x 100
The percentage of percussion instruments in the inventory = ( 90/500 ) x 100
The percentage of percussion instruments in the inventory = 18 %
The percentage of wind instruments in the inventory = ( number of wind instruments / Total number of instruments in the inventory ) x 100
The percentage of wind instruments in the inventory = ( 159/500 ) x 100
The percentage of wind instruments in the inventory = 31.8 %
The percentage of brass instruments in the inventory = ( number of brass instruments / Total number of instruments in the inventory ) x 100
The percentage of brass instruments in the inventory = ( 186/500 ) x 100
The percentage of brass instruments in the inventory = 37.2 %
Now , Joe likes to order 30 % more percussion instruments
So , the equation will be
The number of percussion instruments Joe should order = ( 30/100 ) x number of percussion instruments
Substituting the values in the equation , we get
The number of percussion instruments Joe should order = 0.3 x 90
The number of percussion instruments Joe should order = 27 instruments
Hence , The percentages of string , percussion , wind and brass instruments in the inventory is 13 % , 18 % , 31.8 % and 37.2 % respectively
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