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Eric bought some hats and bags for $191 altogether. Each hat cost $12.80 and each bag cost $23.30. 2/5 of the hats and bags that Eric bought were hats. How many bags did Eric buy?

 Jul 2, 2024
 #1
avatar+129873 
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The bags  must have been 3/5 of the total items

 

Let's call the number of total items  = T

 

So

 

Number of hats bought * 12.80  +  Number of bags bought * 23.30  =  191

 

(2/5)T* 12.80  + (3/5)T * 23.30  = 191

 

5.12T   + 13.98T = 191

 

T ( 5.12 + 13.98)  = 191 

 

T (19.1)  = 192

 

T = 191 / 19.1  =   10   items were bought

 

The number of bags =  (3/5) * 10   =   6

 

 

 

cool cool cool

 Jul 2, 2024

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