Envelopes can be purchased for \(\$1.50\) per pack of \(100, \$1.00\) per pack of \(50,\) or \(\$0.03\) each. What is the greatest number of envelopes that can be purchased for \(\$7.30?\)
A. 426
B. 430
C. 443
D. 460
E. 486
Answer: D
Source: Official Guide
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Envelopes can be purchased for \(\$1.50\) per pack of \(100, \$1.00\) per pack of \(50,\) or \(\$0.03\) each. What is
This topic has expert replies
Here we have
1. \(100\) per \(1.5\), we can buy \(4 = 400\), remaining \(1.3\) to spend
2. \(50\) per \(1\), we can buy \(1\) pack \(= 50\) envelopes, remaining \(0.3\) to spend
3. \(1\) per \(0.03\) we can buy \(10\) more with \(0.3\)
Total \(= 400 + 50 + 10 = 460 \Longrightarrow\) D
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7294
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Solution:
We see that the cost per envelope of a pack of 100 envelopes is 1.50/100 = $0.015 and that of a pack of 50 envelopes is 1/50 = $0.02. Since the cost per envelope is the cheapest when buying a pack of 100 envelopes, we should buy as many packs of 100 envelopes first, followed by packs of 50 envelopes, and then followed by single envelopes.
Using this scheme, we can buy 4 packs of 100 envelopes, with 7.3 - 6 = $1.30 left. We then buy 1 pack of 50 envelopes, with 1.3 - 1 = $0.30 left. Finally, we can buy 10 single envelopes with the $0.30 we have left. Therefore, we can buy a maximum total of 4 x 100 + 50 + 10 = 460 envelopes.
Answer: D
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
