There are 5 pennies for every 6 quarters in Ahmed's pocket. Could Ahmed have a total of 30 coins in his pocket? Explain

Ahmed cannot have total of 30 coins in his pocket

Solution:

Given that,

There are 5 pennies for every 6 quarters in Ahmed's pocket

We are asked if Ahmed can have a total of 30 coins in his pocket

From given,

5 pennies for every 6 quarters

Therefore, ratio is:

penny : quarter = 5 : 6

Total = 5 + 6 = 11

Then the total number of coins must be multiple of 11

But 30 is not a multiple of 11

Therefore, Ahmed cannot have total of 30 coins in his pocket