Another significant aspect of Mother's Day is dining out. Research indicates that 56% of people treat their mothers to a meal, with a cumulative spend of $4.2 billion in the U.S. Assuming that 56% of mothers are taken out to eat, what does the average Mother's Day restaurant bill amount to?

Mathematics · High School · Thu Feb 04 2021

Answered on

 To find the average Mother's Day restaurant bill, we need to divide the total spending by the number of people who go out to eat. Let's break it down:

Let's assume there are M mothers in the U.S.

56% of these mothers are treated to a meal, which means 0.56 * M mothers are taken out to eat.

The cumulative spend is $4.2 billion.

To find the average spend per mother, we divide the total spend by the number of mothers taken out to eat:

Average spend per mother = Total spend / Number of mothers taken out = $4.2 billion / (0.56 * M)

However, we don't have the specific number of M (the total number of mothers). So, we'll presume that the statistics already considered the total number of mothers to find that 56% of mothers' statistic. Hence, we don't need to calculate M, because the average spend per mother is already based on the 56% figure.

So, the average spend per mother is:

Average spend per mother = $4.2 billion / (0.56 * Mothers taken out)

Since we don’t have the exact number of mothers, let's represent the number of mothers taken out to eat with the variable "x."

Therefore, Average spend per mother = $4,200,000,000 / (0.56 * x)

If we want to find the average spend per mother, we would need the actual number of mothers taken out to eat (x). Let’s solve for x using the given data:

4.2 billion dollars is spent for 56% of mothers. Let x represent the total number of mothers taken out to eat:

Total spend = Average spend per mother * Number of mothers taken out 4,200,000,000 = Average spend per mother * x

Now to find the average spend per mother, we rearrange the formula:

Average spend per mother = 4,200,000,000 / x

However, as we lack the value of x, we can't calculate the actual average spend per mother.