Word Problems, Work/Rate Problems

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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

Word Problems, Work/Rate Problems

by swerve » Wed May 27, 2020 1:01 pm

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A script writer charges $4 for every standard script, which is either of length 4 pages or less. However, he charges 50 cents for every additional page but do not charge any money for every 11th page of the script, he types. What will be the total amount that he will charge for typing a script of 32 pages?

A. $12
B. $16
C. $17
D. $18
E. $24

The OA is C

Source: e-GMAT

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Source: Beat The GMAT — Problem Solving | Wed May 27, 2020 1:01 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

Re: Word Problems, Work/Rate Problems

by Jay@ManhattanReview » Wed May 27, 2020 10:15 pm

swerve wrote: ↑
Wed May 27, 2020 1:01 pm
A script writer charges $4 for every standard script, which is either of length 4 pages or less. However, he charges 50 cents for every additional page but do not charge any money for every 11th page of the script, he types. What will be the total amount that he will charge for typing a script of 32 pages?

A. $12
B. $16
C. $17
D. $18
E. $24

The OA is C

Source: e-GMAT

Out of 32 pages, the charges for the first 4 pages would be $4. Thus, an additional 32 – 4 = 28 pages are left to be charged at a rate of 50 cents; however, we know that every 11th page is not charged, so 11th and 22nd page will not be charged.

So, total charge = 4 + (32 – 4 – 2)*0.50 = $17

The correct answer: C

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: Word Problems, Work/Rate Problems

by Scott@TargetTestPrep » Sun May 31, 2020 4:04 am

swerve wrote: ↑
Wed May 27, 2020 1:01 pm
A script writer charges $4 for every standard script, which is either of length 4 pages or less. However, he charges 50 cents for every additional page but do not charge any money for every 11th page of the script, he types. What will be the total amount that he will charge for typing a script of 32 pages?

A. $12
B. $16
C. $17
D. $18
E. $24

The OA is C

Solution:

Since page 11 and page 22 are free, he will charge only for 30 of the 32 pages. For 4 of these 30 pages, he will charge a total of $4 and for the remaining 26 pages, he will charge $0.50 per page. Therefore, he will charge a total of 4 + 0.50 x 26 = 4 + 13 = $17 for the 32-page script.

Answer: C

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