Chapter 5.4, Problem 37IP

To determine

To find: The volume of ice cream in liters consumed by $50$ Americans in one week.

Answer to Problem 37IP

Total volume of ice cream in liters consumed by $50$ Americans in one weekis $73\text{L}$ .

Explanation of Solution

Given information:The average consumption of ice cream by an American in one year is $20$ gallons.

Calculation:

Consumption of ice cream by the average American is given $20$ gallons in $1$ year.

For volume of ice cream in liters in one week by $50$ Americans, convert gallons to liters, year to week and number of people from $1$ to $50$ .

To convert gallon liters,use $\text{1}\text{gal}=\text{3}\text{.785}\text{L}$ .

To convert year to week, use $1\text{year}=\text{52}\text{weeks}$ .

Convert gallons per year to liter per week as:

  $\begin{array}{c}20\text{gal/year}=\frac{20\text{gal}}{1\text{year}}\cdot \frac{3.785\text{L}}{1\text{year}}\cdot \frac{1\text{year}}{52\text{week}}\\ =1.4557\text{L/week}\\ \approx 1.46\text{L/week}\end{array}$

Now, an average American consumes $1.46\text{L}$ of ice cream in a week.So, the consumption of ice cream by $50$ Americans in a week is:

  $50\times 1.46\text{L/week}=73\text{L/week}$

Therefore, the volume of ice cream in liters consumed by $50$ Americans in one week is $73\text{L}$ .