Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
09 Dec 2024, 05:26
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
72% (02:29) correct
28%
(02:41)
wrong
based on 254
sessions
History
Date
Time
Result
Not Attempted Yet
A 12-kilogram fertilizer blend contains 40 percent nitrogen and 60 percent phosphorus, by weight. To create a 12-kilogram mixture that contains 55 percent nitrogen and 45 percent phosphorus, how many kilograms of the original blend should be removed and replaced with pure nitrogen?
A. 2.8
B. 4
C. 3
D. 2.9
E. 2.5
A. 2.8
B. 4
C. 3
D. 2.9
E. 2.5
09 Dec 2024, 05:26
Kudos
Bookmarks
1. Calculate the initial amounts of nitrogen and phosphorus:
Nitrogen: 12 kg * 0.40 = 4.8 kg
Phosphorus: 12 kg * 0.60 = 7.2 kg
2. Let 'x' be the amount of fertilizer blend removed and replaced with pure nitrogen.
3. Calculate the amounts of nitrogen and phosphorus after removing 'x' kg:
Nitrogen: 4.8 kg - 0.40x
Phosphorus: 7.2 kg - 0.60x
4. Calculate the amounts after adding 'x' kg of pure nitrogen:
Nitrogen: 4.8 kg - 0.40x + x = 4.8 kg + 0.60x
Phosphorus remains the same: 7.2 kg - 0.60x
5. Determine the desired amounts of nitrogen and phosphorus:
Nitrogen: 12 kg * 0.55 = 6.6 kg
Phosphorus: 12 kg * 0.45 = 5.4 kg
6. Set up an equation to find 'x':
Since we know the desired amount of nitrogen, we can equate it to the amount of nitrogen after the replacement:
4.8 kg + 0.60x = 6.6 kg
7. Solve for 'x':
0.60x = 1.8 kg
x = 3 kg
Therefore, 3 kg of the original blend should be removed and replaced with pure nitrogen.
Nitrogen: 12 kg * 0.40 = 4.8 kg
Phosphorus: 12 kg * 0.60 = 7.2 kg
2. Let 'x' be the amount of fertilizer blend removed and replaced with pure nitrogen.
3. Calculate the amounts of nitrogen and phosphorus after removing 'x' kg:
Nitrogen: 4.8 kg - 0.40x
Phosphorus: 7.2 kg - 0.60x
4. Calculate the amounts after adding 'x' kg of pure nitrogen:
Nitrogen: 4.8 kg - 0.40x + x = 4.8 kg + 0.60x
Phosphorus remains the same: 7.2 kg - 0.60x
5. Determine the desired amounts of nitrogen and phosphorus:
Nitrogen: 12 kg * 0.55 = 6.6 kg
Phosphorus: 12 kg * 0.45 = 5.4 kg
6. Set up an equation to find 'x':
Since we know the desired amount of nitrogen, we can equate it to the amount of nitrogen after the replacement:
4.8 kg + 0.60x = 6.6 kg
7. Solve for 'x':
0.60x = 1.8 kg
x = 3 kg
Therefore, 3 kg of the original blend should be removed and replaced with pure nitrogen.
12 Dec 2024, 06:06
Kudos
Bookmarks
Essentially what is needed is Phosphorus has to be reduced from 7.2 kgs to 5.4 kgs. While reducing that, also some of nitrogen will be reduced. So we can say that the mixture removed is also going to be in the ratio of 2:3 (40% and 60% respectively), the 1.8kg (from above 7.2-5.4) phosphorus removed has to be the 60% of the total mixture. Hence, 1.8/.6=3 kgs of the total mixture has to be removed.
