Chapter 6.3, Problem 37PPS

To determine

The liters of ice cream 50 Americans will consume in one week.

Answer to Problem 37PPS

The 50 Americans will consume $87.40\text{Liters}$ of ice cream per week.

Explanation of Solution

Given information:

The average American consumes $20$ gallons of ice cream in one year.

Formula used:

Conversion formula to convert gallons into liters, which can be mathematically expressed as,

  $1\text{gal}=4.54609\text{L}$

Years and weeks are related to each other by a mathematical equation as,

  $1\text{year}=52\text{weeks}$

Calculation:

Consider the provided statement “The average American consumes $20$ gallons of ice cream in one year.”

Recall that the conversion rule that 1 gallon is $4.54609$ liters.

So, $20$ gallons is evaluated as when $20$ is multiplied by $4.54609$ .

Therefore, $20$ gallons is,

  $\begin{array}{c}1\text{gal}=4.54609\text{L}\\ 20\text{gal}=\left(20\times 4.54609\right)\text{L}\\ 20\text{gal}=90.9218\text{L}\end{array}$

Now, recall that year and weeks are related to each other as $1\text{year}=52\text{weeks}$ .

So, liters of ice cream that one American consumes per week will be evaluated as when $90.9218$ is divided by $52$ .

Therefore, liters of ice cream an American consumes per week is,

  $\frac{90.9218}{52}=1.748$

Thus, one American consumes $1.748$ about liters of ice cream per week.

Now, liters of ice cream that 50 Americans will consume per week will be evaluated as whenis $1.748$ multiplied by 50.

Therefore, liters of ice cream that 50 Americans will consume is,

  $1.748\times 50=87.4$

Rounding off to the nearest hundredth,

  $1.748\times 50=87.40$

Hence, The 50 Americans will consume $87.40\text{Litres}$ of ice cream per week.