|
|
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.
24 Dec 2024, 11:02
Kudos
Bookmarks
We can have the following equation (assuming x bags of 8-pound bags, and y bags of 12-pound bags):
8x + 12y = 240,000,
which simplifies to:
2x + 3y = 60,000.
Looking at the options, we can easily eliminate 10,000 ; 14,000 ; 16,000 and 20,000 as values of x since these aren't multiple of 3 and thus wouldn't yield an integer value for y
So, let's use x = 12,000 to calculate y:
2(12,000) + 3y = 60,000
24,000 + 3y = 60,000
3y = 36,000
y = 12,000
Thus, x = 12,000 and y = 12,000.
8x + 12y = 240,000,
which simplifies to:
2x + 3y = 60,000.
Looking at the options, we can easily eliminate 10,000 ; 14,000 ; 16,000 and 20,000 as values of x since these aren't multiple of 3 and thus wouldn't yield an integer value for y
So, let's use x = 12,000 to calculate y:
2(12,000) + 3y = 60,000
24,000 + 3y = 60,000
3y = 36,000
y = 12,000
Thus, x = 12,000 and y = 12,000.
24 Dec 2024, 11:02
Kudos
Bookmarks
Bunuel
Reducing all the values by 1000
The number of 8 pounds bag = x
The number of 12 pound bags = y
\(8x + 12y = 240\)
\(2x + 3y = 60\)
\(x = 30 - y - \frac{y}{2}\)
y = 2 ; x = 30 - 2 - 1 = 27
The other values of (x,y) = (24,4) ; (21,6) ; (18,8) ; (15,10) ; (12 , 12) ....
Hence,
8-pound bags = 12-pound bags = 12,000
24 Dec 2024, 11:05
Kudos
Bookmarks
Let x = no. of 8 pound bags, and y = no. of 12 pound bags.
8x + 12y = 240,000
2x + 3y = 60,000
Testing answer choices,
x = 10,000; then 3y = 40,000 => This is not possible as y won't be an integer.
x = 12,000; then 3y = 36,000 => y = 12,000 This is possible, and both bags are between 10,000 and 20,000. No need to test further.
Answer 12,000 and 12,000
8x + 12y = 240,000
2x + 3y = 60,000
Testing answer choices,
x = 10,000; then 3y = 40,000 => This is not possible as y won't be an integer.
x = 12,000; then 3y = 36,000 => y = 12,000 This is possible, and both bags are between 10,000 and 20,000. No need to test further.
Answer 12,000 and 12,000
