5752 Core Academic Skills for Educators — Praxis Core Reading 5715

1. Serena has 1214 nickels in a jar. What is the least number of nickels that Serena should remove so that she would be able to divide the remaining nickels equally among her 3 friends and not have any nickels left over?

Answer: C

Explanation:

Serena should remove 2 nickels to divide the remaining nickels equally among her 3 friends.

To ensure that the remaining 1214 nickels can be evenly divided among 3 friends without any remainder, Serena needs to remove 2 nickels, leaving her with 1212 nickels, which is divisible by 3.

A) 1

Removing 1 nickel would leave Serena with 1213 nickels. When 1213 is divided by 3, it results in a quotient of 404 with a remainder of 1. Therefore, this option would not allow for an equal division among her friends.

B) 2

This is the correct option, as removing 2 nickels would leave Serena with 1212 nickels. Since 1212 divided by 3 equals 404 with no remainder, this allows for an equal division among her friends.

C) 3

If Serena were to remove 3 nickels, she would be left with 1211 nickels. Dividing 1211 by 3 gives a quotient of 403 with a remainder of 2, which does not allow for an even distribution among her friends.

D) 4

Removing 4 nickels would leave Serena with 1210 nickels. When 1210 is divided by 3, it results in a quotient of 403 with a remainder of 1. This option would also not enable a fair division among her friends.

Conclusion

The least number of nickels Serena should remove is 2, as this adjustment leads to a total of 1212 nickels, perfectly divisible by 3. All other options result in remainders, making it impossible for her to distribute them equally among her friends.