A mixture of "lean" ground beef (10% fat) and &quo

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

A mixture of "lean" ground beef (10% fat) and &quo

by BTGmoderatorDC » Wed Apr 03, 2019 6:12 pm

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A mixture of "lean" ground beef (10% fat) and "super-lean" ground beef (3% fat) has a total fat content of 8%. What is the ratio of "lean" ground beef to "super-
lean" ground beef?

a) 5:2
b) 6:3
c) 1:2
d) 8:4
e) 2:3

OA A

Source: Manhattan Prep

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Source: Beat The GMAT — Problem Solving | Wed Apr 03, 2019 6:12 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Wed Apr 03, 2019 9:37 pm

BTGmoderatorDC wrote:A mixture of "lean" ground beef (10% fat) and "super-lean" ground beef (3% fat) has a total fat content of 8%. What is the ratio of "lean" ground beef to "super-
lean" ground beef?

a) 5:2
b) 6:3
c) 1:2
d) 8:4
e) 2:3

OA A

Source: Manhattan Prep

Say the quantity of "lean" ground beef = x units and the quantity of "super-lean" ground beef = y units; thus, we have to get the value of x : y.

10%x + 3%y = 8%*(x + y)
2%x = 5%y

x/y = 5 : 2

The correct answer: A

Hope this helps!

-Jay
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deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

by deloitte247 » Sat Apr 06, 2019 3:01 pm

Let lean ground beef = x
Let super-lean ground beef = y
$$\left(10\%\ of\ x\right)\ +\left(3\%\ of\ y\right)=8\%\left(x+y\right)$$
Weighted average
$$\frac{\left(3-8\right)}{8-10}=\frac{5}{2}\ =\ 5:2$$
Answer is option A.

Hope this comes easy to understand for you!<i class="em em---1"></i>

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sun Apr 07, 2019 5:26 pm

BTGmoderatorDC wrote:A mixture of "lean" ground beef (10% fat) and "super-lean" ground beef (3% fat) has a total fat content of 8%. What is the ratio of "lean" ground beef to "super-
lean" ground beef?

a) 5:2
b) 6:3
c) 1:2
d) 8:4
e) 2:3

OA A

Source: Manhattan Prep

We can create the equation in which x = the amount of lean ground beef and y = the amount of super lean ground beef:

0.1x + 0.03y = 0.08(x + y)

10x + 3y = 8x + 8y

2x = 5y

x/y = 5/2

Answer: A

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