If the charge of staying in a student youth hostel

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Thu Feb 01, 2018 1:09 am

If the charge of staying in a student youth hostel is $18.00/day for the first week, and $10.00/day for each additional week, How much does it cost to stay for 23 days?

A. $160
B. $289
C. $282
D. $274
E. $286

The OA is E .

Experts, how can I solve this PS question? What is the equation that I should use?

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Source: Beat The GMAT — Problem Solving | Thu Feb 01, 2018 1:09 am

EconomistGMATTutor: GMAT Instructor; Posts: 555; Joined: Wed Oct 04, 2017 4:18 pmFollowed by: 12 members; Thanked: 180 times

by EconomistGMATTutor » Thu Feb 01, 2018 2:23 am

VJesus12 wrote:If the charge of staying in a student youth hostel is $18.00/day for the first week, and $10.00/day for each additional week, How much does it cost to stay for 23 days?

A. $160
B. $289
C. $282
D. $274
E. $286

The OA is E .

Experts, how can I solve this PS question? What is the equation that I should use?

Hi vjesus12.

Let's take a look at your question.

We are interested in the cost of 23 days. We have to divide this 23 days as follows: 7 days (a week) + 16 days.

Then, the equation that gives us the cost total is: $$Cost=18\cdot\left(7\right)+10\cdot\left(16\right)=126+160=286\ \text{dollars}.$$ This is why the correct answer is the option [spoiler]E=$286[/spoiler].

I hope this answer can help you.

I'm available if you'd like a follow-up.

Regards.

GMAT Prep From The Economist
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Our average student improves 98 points.

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DrMaths: Senior | Next Rank: 100 Posts; Posts: 82; Joined: Mon Jan 15, 2018 2:01 am

by DrMaths » Thu Feb 01, 2018 9:35 am

23 days cost = 7 days * $18 + 16 days * $10
= $126 + $160 = $286

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DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members; Location: Boston, MA; Thanked: 1153 times; GMAT Score:770

by DavidG@VeritasPrep » Thu Feb 01, 2018 10:03 am

VJesus12 wrote:If the charge of staying in a student youth hostel is $18.00/day for the first week, and $10.00/day for each additional week, How much does it cost to stay for 23 days?

A. $160
B. $289
C. $282
D. $274
E. $286

The OA is E .

Experts, how can I solve this PS question? What is the equation that I should use?

Note, also, that once you get to this equation: 18*7 + 10*16, there's no need to actually solve, so we can save a little time.
18*7--> units digit of 6;
10*16 --> units digit of 0

Adding one term with a units of 6 to another with a units of 0 will give us a sum with a units digit of 6. Only E works.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8137; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Fri Feb 02, 2018 11:33 am

VJesus12 wrote:If the charge of staying in a student youth hostel is $18.00/day for the first week, and $10.00/day for each additional week, How much does it cost to stay for 23 days?

A. $160
B. $289
C. $282
D. $274
E. $286

To stay in the hostel for 23 days, it would cost:

18(7) + 10(16) = 126 + 160 = $286

Answer: E[spoiler]

Scott Woodbury-Stewart
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[email protected]

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