Each of the 20 employees at Company J is to receive an end-of-year bonus this year. Agnes will receive a larger bonus

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Sat Jan 30, 2021 9:50 pm

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Each of the 20 employees at Company J is to receive an end-of-year bonus this year. Agnes will receive a larger bonus than any other employee, but only $500 more than Cheryl will receive. None of the employees will receive a smaller bonus than Cheryl. If the amount of money to be distributed in bonuses at Company J this year totals $60,000, what is the largest bonus Agnes can receive?

A. $3,250
B. $3,325
C. $3,400
D. $3,475
E. $3,500

Answer: D

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Source: Beat The GMAT — Problem Solving | Sat Jan 30, 2021 9:50 pm

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Re: Each of the 20 employees at Company J is to receive an end-of-year bonus this year. Agnes will receive a larger bonu

by Scott@TargetTestPrep » Tue Feb 09, 2021 5:33 pm

Vincen wrote: ↑
Sat Jan 30, 2021 9:50 pm
Each of the 20 employees at Company J is to receive an end-of-year bonus this year. Agnes will receive a larger bonus than any other employee, but only $500 more than Cheryl will receive. None of the employees will receive a smaller bonus than Cheryl. If the amount of money to be distributed in bonuses at Company J this year totals $60,000, what is the largest bonus Agnes can receive?

A. $3,250
B. $3,325
C. $3,400
D. $3,475
E. $3,500

Answer: D

Solution:

We can let the bonus of Cheryl and the other employees = 19x and Agnes’s bonus = x + 500; thus:

20x + 500 = 60,000

20x = 59,500

x = 2,975

Thus, Agnes will receive 2,975 + 500 = $3,475 in bonus.

Answer: D

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