Q23. - Algebra 1

Question

A movie made $297.2 million in 22 weeks. How much did the movie make on average each week?

Step-by-Step Solution

Answer

The movie makes $13.50 million on average each week.

Step 1. State the concept of averages and unitary method.

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

 

The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method. 

Example: If the cost of 8 cans is 320, then what will be the cost of 5 cans? Therefore, cost of $5 \mathrm{cans}= \left(320/8\right)\times 5=200$.

Step 2. Apply the unitary method.

In order to find how much the movie, make on average each week, note that the movie made $297.2 million in 22 weeks, now use the unitary method to find how much the movie will make in 1 week.

$\begin{array}{c}\text{ 22 weeks = \$297.2million}\\ 1\text{\hspace{0.17em}\hspace{0.17em}week}=\frac{297.2}{22}\end{array}$

Step 3. Simplify the expression.

Further simplify the expression.

 

$$\begin{gathered} 1\text{\hspace{0.17em}\hspace{0.17em}week}=\frac{297.2}{22} \\ 1\text{\hspace{0.17em}\hspace{0.17em}week}=13.50\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}millions} \end{gathered}$$

 

Thus, the movie makes $13.50 million on average each week.