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ratios word problems 6

problem: ratios word problems 6


Three small cities A, B, C share the costs for a new hospital in the ratio 10 : 5 : 7

How much have each city to spend if the total amount is $ 7 920 000?

 

 ratios word problems 6

 

answer: ratios word problems 6


 
1. step: given
 
                parts                 $
 
city A:         10                  ? 
 
city B:          5                   ?         
 
city C:          7                   ?     
 
total amount: 22        7 920 000
 
wanted:  city A, city B, city C
 
 
2. step: 1 part
 
1 part = $ total amount : parts total amount
 
1 part = 7 920 000  : 22 
 
1 part = $ 360 000
 
 
3. step: costs for city A, B, C
 
                parts                             $
 
city A:        10       10 * 360 000 3 600 000
 
city B:          5         5 * 360 000 = 1 800 000       
 
city C:          7         7 * 360 000 = 2 520 000    
 
total amount: 22                            7 920 000 
 
 
4. step: answer
 
City A have to pay $ 3 600 000,  city B $ 1 800 000 and city C $ 2 520 000.