Copper pipe costs x cents per foot in 8-foot lengths, and x+y cents per foot in shorter lengths...

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Sat Aug 08, 2020 5:43 am

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Source: Princeton Review

Copper pipe costs x cents per foot in 8-foot lengths, and x+ y cents per foot in shorter lengths. What is the lowest possible price, in cents, of 51 feet of pipe in terms of x and y?

A. 51(x+y)
B. 51x
C. 48x+3y
D. 48(x+y)
E. 51x+3y

The OA is E

Source: Beat The GMAT — Problem Solving | Sat Aug 08, 2020 5:43 am

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Re: Copper pipe costs x cents per foot in 8-foot lengths, and x+y cents per foot in shorter lengths...

by Scott@TargetTestPrep » Tue Aug 18, 2020 10:26 am

BTGmoderatorLU wrote: ↑
Sat Aug 08, 2020 5:43 am
Source: Princeton Review

Copper pipe costs x cents per foot in 8-foot lengths, and x+ y cents per foot in shorter lengths. What is the lowest possible price, in cents, of 51 feet of pipe in terms of x and y?

A. 51(x+y)
B. 51x
C. 48x+3y
D. 48(x+y)
E. 51x+3y

The OA is E

Solution:

For 51 feet of pipe, the cheapest option is to buy six 8-foot pipes and one 3-foot pipe. Therefore, the lowest possible price, in cents, of 51 feet of pipe, is:

6 * 8 * x + 1 * 3 * (x + y) = 48x + 3x + 3y = 51x + 3y

Answer: E

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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: Copper pipe costs x cents per foot in 8-foot lengths, and x+y cents per foot in shorter lengths...

by swerve » Tue Aug 18, 2020 12:26 pm

BTGmoderatorLU wrote: ↑
Sat Aug 08, 2020 5:43 am
Source: Princeton Review

Copper pipe costs x cents per foot in 8-foot lengths, and x+ y cents per foot in shorter lengths. What is the lowest possible price, in cents, of 51 feet of pipe in terms of x and y?

A. 51(x+y)
B. 51x
C. 48x+3y
D. 48(x+y)
E. 51x+3y

The OA is E

Total required length $= 51$
So,
$48x+3x+3y; 51x+3y$

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