Reasoning

In a bag of 24 coins, 5/6 of the coins are pennies. A different bag of 50 coins contains the same number of pennies as the bag of 24 coins. What fraction of the coins in the bag of 50 coins are pennies?

(5/6 )24 = 20 pennies

20 / 50 = 2/5

20/50 = 2/5

To find the fraction of coins in the bag of 50 coins that are pennies, we need to determine the number of pennies in the bag of 50 coins.

We are given that 5/6 of the coins in the bag of 24 coins are pennies. To find the number of pennies in the bag of 24 coins, we can multiply the total number of coins (24) by the fraction of coins that are pennies (5/6):

Number of pennies in bag of 24 coins = 24 * (5/6) = 20

Since we are also told that the bag of 50 coins contains the same number of pennies as the bag of 24 coins, we know that the bag of 50 coins also contains 20 pennies.

Now, we can find the fraction of coins in the bag of 50 coins that are pennies by dividing the number of pennies (20) by the total number of coins in the bag of 50 coins (50):

Fraction of coins that are pennies in bag of 50 coins = 20/50 = 2/5

Therefore, 2/5 of the coins in the bag of 50 coins are pennies.