Write a Math Story!

• You will be writing a “Rates, Math Story”

• You must include characters, setting, and problem(rates)

The Simpson Cleaning Team

• One day, Marge decided she would ask Lisa to help her clean up the house. They both worked hard and wanted to have a clean house for Bart’s upcoming birthday party. They had to work together to get the job done in a quick manner!

Marge can clean the house in 3 hrs. Lisa can clean it in 5 hrs.

“Lisa dear, will you help me clean the house for Bart’s birthday?” asked Marge. Lisa looked up at Marge and very eagerly replied, “of course mom.” How long will it take them to clean the house if they both work together?

Marge can clean the house in 3 hrs.,

so she does 1/3 of the house per hour.

Lisa can clean the house in 5 hrs.,

so she does 1/5 of the house per hour.

Let T T be the time in hours.

13 TT + 1

5 TT = 1

Title

Brainstorm Ideas on what your rate story should include

Who?

Why?How?

Where?

When?

What?

Rate Story Problems

Paragraph 1- Introduce your character/s and setting. Make sure your story has Dialogue.

Paragraphs 2-4

Discuss the problem of the story (What two items are being Compared? What are the characters trying to figure out?What will the RATE problem be? How will the characters solve theProblem?

Paragraph 5 Explain what was the outcome of the story. What happened in the End? How did the problem get solved?

1/3T + 1/5T = 1

15(1/3T + 1/5T) = 15(1)

5T + 3T = 15

8T = 15

T = 15/8

17/8 hrs.

Bart can wash the car in 20 min.Homer can wash it in 30 min.How long will it take them to wash the car if they both work together?

Bart can wash the car in 20 min.,

so he does 1/20 of the car per min.

Homer can wash the car in 30 min.,

so he does 1/30 of the car per min.

Let M M be the time in minutes.

120 MM + 1

30 MM = 1

1/20M + 1/30M = 1

60(1/20M + 1/30M) = 60(1)

3M + 2M = 60

5M = 60

M = 12 min.

Mr. Skinner can enroll 15 students per hr.

Mr. Chalmer can enroll 20 students per hr.

How long will it take them to enroll 140 students working together?

Minutes work better than hours.

Mr. Skinner enrolls 15 students per 60 min.,

so he enrolls 15/60 or 1/4 students per min.

Minutes work better than hours.

Mr. Chalmer enrolls 20 students per 60 min.,

so he enrolls 20/60 or 1/3 students per min.

1/4M + 1/3M = 140

12(1/4M + 1/3M) = 12(140)

3M + 4M = 1680

7M = 1680M = 240 min.

= 4 hrs.

Mrs. Krabappel can grade a set of papers in 11/2 hrs.

Miss Hoover can grade them in 80 min.

How long will it take them to grade one set if they both work together?

Minutes work better than hours.

Mrs. Krabappel grades 1/90 of a set per min.

Miss Hoover grades 1/80 of a set per min.

1/90M + 1/80M = 1

720(1/90M + 1/80M) = 720(1)

8M + 9M = 720

17M = 720

M = 426/17 min.

Approximately how long would it take them to grade 3 sets if they both work together?

1/90M + 1/80M = 3

720(1/90M + 1/80M) = 720(3)

8M + 9M = 2160

17M = 2160

M = 1271/17 min. A little more than 2 hrs.