Question

A machine makes coins and deposits 5475 coins every four minutes in a bin.
Another machine removes 1125 coins from the bin every one minute. If the
bin initially had 3750 coins, find the number of coins in the bin one hour after
both the machines have been switched on simultaneously.
​

Answer 1

Answer:

1 hour = 60 minutes

The machine makes coins and deposit 5475 coins every four minutes .

then, In one hour the machine make and deposit coins are

=> 5475 × (60/4)

=> 5475 × 15 = 82,125 coins

Now the bin have coins =

=> The bin had coins in starting + The coins that the machine make in one hour

=> 3750 + 82125 = 85,875 coins

Another machine that remove 1125 coin in every minute from bin.

then, In one hour the machine removes coins from bin

=> 1125 × 60 = 67,500 coins

The number of coins in bin after one the both machines have been switched is

=> 85,875 - 67,500 = 18,375 coins

Hence, the answer is 18,375 coins

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