The bag contained "several" 20-cent coins and "several" 50-cent coins. A 50-cent coin is 14 times lessthana 20-cent coin. The totalamount of cents is$27.30.Thenthe amount of 50 cents coinsis35 coins.

Discussion

First guess: 1 x 50 cent coin + (1+14) 20 cent coin

Value: (1 x $0.5) + (1+14 x $0.2) = $0.5 + $3.00 = $3.50

So, we still need $27.30 - $3.50 = $23.80

For every 50 cent coin added, a 20 cent coin will also be added so that the ratio of 20 cents and 50 cents remains 14.

Each additional coin will increase the number of cents by $0.70. So:

$23.80 : $0.70 = 34 times coin addition

Second guess: (1+ 34) 50 cent coin + (15+ 34) 20 cent coin

                             = 35 (50 cents) + 49 (20 cents)

                             = $17.50 + $9.80

                             = $27.30

So, the number of 50-cent coins in the bag is 35 coins and the number of 20-cent coins is 49 coins.

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