Chapter 5, Problem 20A

Interpretation Introduction

Interpretation: Number of quarters that must be lined in a row to reach 1 meter length needs to be explained.

Concept Introduction: In case of converting one unit to another choose a conversion factor, which cancels the units and omits the units in the result. Conversion factors are the ratios of two parts of the unity report which compares two units.

Answer to Problem 20A

Number of quarters that must be lined in a row to reach 1 meter length is $40\text{quarter}$ .

Explanation of Solution

Number of quarters that must be lined in a row to meeting 1 meter length is calculated as follows:

In case of conversion of m to cm the conversion factor is $\frac{100\text{cm}}{1\text{m}}$ . In conversion of cm to quarter the conversion factor is $\frac{1\text{quarter}}{2.5\text{cm}}$ .

  $\begin{array}{c}\text{Numbers}\text{of}\text{quarters}=\left(1\text{m}\times \frac{100\text{cm}}{1\text{m}}\times \frac{1\text{quarter}}{2.5\text{cm}}\right)\\ =40\text{quarter}\end{array}$

Conclusion

Number of quarters that must be lined in a row to reach a length of 1 meter is $40\text{quarter}$ .