Question

This question has four parts. During his vacation Jimmy went to see some movies Part A On Monday, Jimmy went to see a movie that was 112 minutes long Jimmy was late and missed the first 12 minutes of the movie. What fraction of the movie did Jimmy see ? Show or explain how you got your answer. Part B. On Tuesday, Jimmy went to see another movie. He thought that this movie was 120 minutes longHowever, the movie was 20% longer than Jimmy thought What was the actual length, in minutes of the movie Jimmy went to see on Tuesday ? Show or explain how you got your answer . Part C On Wednesday, Jimmy went to see two movies The first movie was 115 minutes long The length of the second movie was 4/5 the length of the first movie What was the total length in minutes of the two movies Jimmy went to see on Wednesday ? Show or explain how lol you got your answer. Part D Using your answers for Parts B and Cwhat was the average lengthin minutes of the three movies Jimmy went to see on Tuesday and Wednesday ? Show or explain how you got your answer Enter your answer and your work or explanation in the space provided

Answer 1

PART A

The length of the movie is 112 minutes.

Jimmy missed 12 minutes of the movie.

Therefore, the length of the movie that Jimmy saw was

`112-12=100\text{ minutes}`

Therefore, the fraction of the movie that Jimmy saw will be

`(100)/(112)`

Simplifying by dividing the numerator and denominator by 4, we have

`(25)/(28)`

PART B

Jimmy thought the movie was 120 minutes.

The movie was 20% longer.

To find the extra minutes of the movie, we multiply the percentage by the number of minutes Jimmy thought it was, hence

`\begin{gathered} (20)/(100)*120 \\ =24\text{ minutes} \end{gathered}`

Therefore, the actual length of the movie that Jimmy saw was

`\begin{gathered} 120+24 \\ =144\text{ minutes} \end{gathered}`

PART C

The first movie was 115 minutes long.

The second movie was 4/5 the length of the first movie, hence we can calculate it as

`\begin{gathered} (4)/(5)*115 \\ =92\text{ minutes} \end{gathered}`

Therefore, the total length of the two movies is given as

`\begin{gathered} 115+92 \\ =207\text{ minutes} \end{gathered}`

PART D

The average of a set of numbers is given as

`\text{Average = }\frac{Sum\text{ of numbers}}{Number\text{ of numbers}}`

The time spent on movies on Tuesday is 144 minutes.

The time spent on Wednesday is 207 minutes.

Therefore, the average time spent on movies for the two days is given as

`\begin{gathered} \text{Average = }(144+207)/(2) \\ =175.5\text{ minutes} \end{gathered}`