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A company spent $9.065 on some wallets and bags. The ratio of the number of wallets bought to he number of bags bought was 5:7. A wallet cost $13.30 more than a bag. The total cost of the wallets was 17/20 of the total cost of the bags. Find the cost of one such wallet.

 Aug 26, 2021
 #1
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Given:

Ratio of wallet & bags = 5:7

Wallet cost = $13.30 more than a bag

Total spenditure by company = $9.065

Total cost of wallet = 17/20 of total cost of bag


To find:- Cost of one wallet


 

Let cost of one bag is y 

Cost of wallet = $(13.30+y)
No of wallets         5

------------------ =  ------ = Let 5x/7x

No of bags            7

 

Total cost of bag = 7x * y

Total cost of wallet -(13.30+y) * 5x

 

Now Total cost of wallet = 17/20x Total cost of bag

                 (13.30+y) * 5x = 17/20 * 7y

                  (13.3+y) * 100 = 119y

                   1330 + 100y = 119y

                       1330 = (119-100)y

                         19y = 1330

                             y = 70

So Cost of one bag = $y = $70

Cost of one wallet = $(13.30 + y) = $(13.30 + 70)

                              = $83.30

 Nov 4, 2021

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