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.
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
