Chapter 5, Problem 41A

Interpretation Introduction

Interpretation: Conversion of $\$20.00$ to euros and the value of $100$ euros in dollars needs to be explained.

Concept Introduction: To convert one unit into another then first needs to choose a conversion factor, this 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 41A

  $\$20.00$ in euros is $24$ and $100\text{euros}$ in dollars is $\$83.3$ .

Explanation of Solution

The conversion of $\$20.00$ into euros as follows:

  $\begin{array}{c}\$1.00=1.2\text{euros}\\ \text{\$20}\text{.00}=\text{\$20}\text{.00}\times \frac{1.2\text{euros}}{\$1.00}\\ =24\text{euros}\end{array}$

Hence, the converted value of $\$20.00$ in euros is $24\text{euros}$ .

Now, converted $100\text{euros}$ in dollars as follows:

  $\begin{array}{c}\$1.00=1.2\text{euros}\\ \text{100}\text{euros}=\text{100}\text{euros}\times \frac{\$1.00}{1.2\text{euros}}\\ =\$83.3\end{array}$

Hence, $100\text{euros}$ in dollars is $\$83.3$ .

Conclusion

  $\$20.00$ in euros is $24$ and $100\text{euros}$ in dollars is $\$83.3$ .