Chapter 10.1, Problem 1SP

Interpretation Introduction

Interpretation: The mass of 0.50 bushel of apples should be calculated.

Concept Introduction: Factor that uses one set of units to change it to another set of units is said to be conversion factor.

Answer to Problem 1SP

The mass of 0.50 bushel of apples is 5 kg.

Explanation of Solution

The mass of 0.50 bushel of apples is calculated by converting the bushel of apples to dozens of apples and then to mass of apples. So, the sequence of conversions is:

  $\text{bushels of apples }\to \text{ dozens of apples }\to \text{ mass of apples}$

Now, the required conversion factor is:

  $0.50\text{ bushels}\times \left(\frac{2.0\text{ kg}}{0.20\text{ bushels}}\right)$

On solving:

  $0.50\text{ bushels}\times \left(\frac{2.0\text{ kg}}{0.20\text{ bushels}}\right)\text{ = 5 kg}$

Hence, the mass of 0.50 bushel of apples is 5 kg.