Question

Camille is preparing for her English test by typing up the notes she recorded in the margins of her 98-page workbook. She already started typing her notes, and got through the first 14 pages. If Camille types for x hours at a rate of 21 pages per hour, which equation represents the number of pages she has typed, and how many hours will it take to complete the task?

21x + 98 = 14; x = 4

21x = 14 + 98; x = 5

21x + 14 = 98; x = 4

21x - 14 = 98; x = 5
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Answer 1

21x + 14 = 98; x = 4

Explanation:

Camille has already typed notes from the first 14 pages of her workbook, and she types for x hours at a rate of 21 pages per hour. An expression for the one side of the equation needs to represent the total number of pages she has typed in terms of x. The number of pages Camille has typed after x hours is represented by the expression 21x + 14.

The workbook has a total of 98 pages. Thus, the other side of the equation which represents the number of pages Camille has typed after x hours is 98.

Hence, the equation that represents the number of pages she has typed after x hours is 21x + 14 = 98.

Solve the equation to determine how many hours it will take Camille to complete the task.

So, x = 4. Therefore, it takes Camille 4 hours to complete the task.

Answer 2

The correct answer is: 21x + 14 = 98; x = 4.

Explanation:

She needs to type the notes she recorded in her 98-page workbook. If whe types x hours at a rate of 21 pages per hour, and 14 pages are already done. Then the equation is:

21x + 14 = 98;

Now, the number of hours she will take to complete the task can be found by solving for 'x':

21x = 98 - 14

21x = 84

x = 4.

Therefore, the correct option is: 21x + 14 = 98; x = 4.