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ratios word problems 3

problem: ratio words problems 3


Brass is the alloy of zinc and copper in the ratio 3 : 7 

How many kg zinc and copper does 20 kg brass contain?

 

answer: ratios word problems 3


1. step: given
 
              parts        kg
 
zinc:        3              ? 
 
copper:    7             ?     
 
total amount: 10         20
 
wanted kg zinc and copper
 
 
2. step: 1 part
 
1 part = kg total amount : parts total amount
 
1 part =  20 : 10
 
1 part = 2 kg 
 
 
3. step: kg zinc and copper
 
           parts          kg
 
zinc :      3         3 * 2  =
 
copper:  7         7 * = 14          
 
total amount: 10             20
  
 
4. step: answer
 
20 kg brass contains 6 kg zinc and 14 kg copper.