Chapter 6, Problem 2A

Interpretation Introduction

Interpretation: The number of marbles in the pile needs to be determined.

Concept introduction: If the mass of 10 marbles is given, mass of 1 marble can be determined. From the known mass of marble and pile, the number of marbles in the pile can be determined.

Answer to Problem 2A

105

Explanation of Solution

Let the number of marbles in a pile be x. Thus, the mass of x number of piles will be 394.80 g.

The mass of 10 marbles is 37.60 g. thus, the mass of 1 marble will be:

  $m=\frac{37.60\text{ g}}{10}=3.76\text{ g}$

Thus, the number of marble in the pile weighing 394.80 g will be:

  $x=\frac{394.80\text{ g}}{3.76\text{ g}}=105$

Conclusion

Thus, the number of marble in the pile is 105.