Question

30) To help sell more of a lower grade meat, a butcher mixes some premium ground beef worth $3.10/lb, with 8 lb of lower grade ground beef worth $2.05/lb. If the result was an intermediate grade of ground beef worth $2.68/lb, how much premium ground beef was used? a) Use a table to clearly organize the information. Be sure to correctly label each row and column. If necessary, use variable names that make sense in the context of the problem (do not use x or y). b) Use your answer to part a to set up a linear equation in one variable that can be solved to determine the amount of premium ground beef that was used. c) Rewrite and solve your equation from part b. Work vertically, keep = signs lined up. Round to the nearest hundredth of a pound, if necessary.

          30) To help sell more of a lower grade meat, a butcher mixes some premium ground beef worth $3.10/lb,
with 8 lb of lower grade ground beef worth $2.05/lb. If the result was an intermediate grade of ground
beef worth $2.68/lb, how much premium ground beef was used?
a) Use a table to clearly organize the information. Be sure to correctly label each row and column. If
necessary, use variable names that make sense in the context of the problem (do not use x or y).
b) Use your answer to part a to set up a linear equation in one variable that can be solved to determine
the amount of premium ground beef that was used.
c) Rewrite and solve your equation from part b. Work vertically, keep = signs lined up. Round to the
nearest hundredth of a pound, if necessary.

Show more…

30 to help sell more of a lower grade meat a butcher mixes some premium ground beef worth 310lb with 8 lb of lower grade ground beef worth 205lb if the result was an intermediate grade of gr 26857

Added by William C.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Mason Guillot

06/23/2022

Step 1

| Type of Beef | Amount (lb) | Price per lb ($) | Total Value ($) | |---|---|---|---| | Premium | p | 3.10 | 3.10p | | Lower Grade | 8 | 2.05 | 8 * 2.05 = 16.40 | | Mixture | p + 8 | 2.68 | 2.68(p + 8) | Show more…

Show all steps

lock

Thanks for your feedback!

30) To help sell more of a lower grade meat, a butcher mixes some premium ground beef worth $3.10/lb, with 8 lb of lower grade ground beef worth $2.05/lb. If the result was an intermediate grade of ground beef worth $2.68/lb, how much premium ground beef was used? a) Use a table to clearly organize the information. Be sure to correctly label each row and column. If necessary, use variable names that make sense in the context of the problem (do not use x or y). b) Use your answer to part a to set up a linear equation in one variable that can be solved to determine the amount of premium ground beef that was used. c) Rewrite and solve your equation from part b. Work vertically, keep = signs lined up. Round to the nearest hundredth of a pound, if necessary.

Play audio

Feedback

Powered by NumerAI

Mason Guillot and 91 other subject Precalculus educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 This problem looking at mixtures of ground beef.

00:03 Both the premiums 310 a pound.

00:05 The lower is 205 a pound, and this mixture is 268 a pound.

00:11 We also know that we bought 8 pounds of the lower quality.

00:16 We want to figure out how much of the premium was bought.

00:18 So i'm going to let this be x.

00:20 So premium was bought 310 to pound, x pounds of it.

00:27 That's what we're selling for.

00:27 The lower was 205, 8 pounds are bought.

00:31 The mixture is $268 a pound, and how many pounds are bought is the sum of both of them.

00:37 So you have x plus 8.

00:42 Okay.

00:43 Now, let's think about the amount of money.

00:46 Let's think about the amount of money that we spent.

00:52 So how much money in total was spent? well, 310 a pound times x would be $3 .10 .3 .10.

01:05 $3 .10 .x.

01:07 And multiply these together.

01:10 So the second one, we can do the math, 205 times 8.

01:13 $16 .40.

01:16 And if we come down here, we would have 2 .68 times x plus 8.

01:23 So we only bought premium lower.

01:24 So this number plus this one should equal that.

01:28 Let's set up an equation that says...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later