Question

A book that is to be recorded onto compact discs takes $412$ minutes to read aloud. Each disc can hold up to $56$ minutes of reading. Assume that the smallest possible number of discs is used and that each disc contains the same length of reading. How many minutes of reading will each disc contain?

$50.2$

$51.5$

$52.4$

$53.8$

$55.2$

Answer: B

Concepts:divisibility estimation

Difficulty rating: 1030

Solution:

Note that $7 \cdot 56 = 392$ and $8 \cdot 56 = 448,$ which means that the minimum number of discs needed is $8.$

Then the minutes of reading that each disc contains is $412 \div 8 = 51.5.$

Thus, B is the correct answer.

2010 AMC 10A Problem 4

Answer: B

Difficulty rating: 1030

Solution:

Problem 4 in Other Years