1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Molodets [167]
3 years ago
10

A metallurgist has one alloy containing 26%26% copper and another containing 69%69% copper. How many pounds of each alloy must h

e use to make 5353 pounds of a third alloy containing 50%50% copper? (Round to two decimal places if necessary.)
Business
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

Ans. He must use 2,987.76 pounds of alloy X (Cu=69%) and 2,365.24 pounds of alloy Y (26%=Cu)

Explanation:

Hi, let´s call alloy X the alloy that contains 69% of Cu and alloy Y the one containing 26% of Cu. Since he needs to produce 5,353 pounds of alloy, the first equation that we need to use is the following.

X+Y=5,353

Now, we need this 5,353 pounds of the new alloy to be 50% Cu, therefore, we have to use a portion of alloy X and alloy Y. This is as follows.

0.69X+0.26Y=0.5(X+Y)

And we have already established that X+Y is equal to 5,353, therefore this equation should look like this.

0.69X+0.26Y=5,353*0.5

0.69X+0.26Y=2,676.5

And we solve for X this equation, this as follows.

0.69X=2,676.5-0.26Y

X=\frac{2,676.5-0.26Y}{0.69}

X=3,878.98-0.3768Y

Now, we use this result and substitute this for X in the first equation like this.

3,878.98-0.3768Y+Y=5,353

and then, we solve for Y

0.6232Y=5,353-3,878.98

Y=\frac{1,474.02}{0.6232} =2,365.24

So, he needs to use 2,365.24 pounds of alloy that contains 26% of Cu, this means that the rest (2,987.76 pounds) must come from the alloy that contains 69% of Cu.

We can check this result by finding the overall Cu obtained by this amounts of alloy, that is

Coppper FromX=2,987.76*0.69=2,061.55

Coppper FromY=2,365.24*0.26=614.96

That adds up to 2,676.51 pounds of pure Cu, and since the total weight of the new alloy is 5,353, this amount of copper makes up for:

PercentCu=\frac{2,676.51}{5,353} =0.5

50% of the total weight.

Best of luck.

You might be interested in
Simons Company purchased land to build a new factory. The following expenditures were made in conjunction with the land purchase
Alexandra [31]

Answer: attached

Explanation:

3 0
3 years ago
Select the correct answer.
aalyn [17]

Answer:

c

Explanation:

usually when ppl have to reserve things it's usually booked

7 0
3 years ago
Read 2 more answers
Nancy and Betty enter into a partnership agreement where they decide to share profits according to the following rules: Nancy an
Margaret [11]
From the first condition, Nancy already has $1,300. From the second condition, Nancy will also receive 10% of her capital balance which is 10% of $100,000 or $10,000. In total, Nancy has a share of $11,300. So, Betty's share is the remaining amount from the $40,000 net income which is
$28,700
5 0
3 years ago
Margaret puts money into her savings account each month. in this example money is functioning as a
astraxan [27]

Answer: a store of value

4 0
2 years ago
Say's law says that
Nutka1998 [239]

Answer:

The answer is : People consume the goods  they produce

Explanation:

Say's law could also be refereed to as  Say's law of markets in Classical economics states that supply itself creates its own demand which is equivalent to people consuming what they produce.

3 0
3 years ago
Other questions:
  • Which of the following statements is FALSE?A. Asset-specific risks can be easily diversified with highly correlated assets in a
    12·2 answers
  • Consumers who agree to a "no interest” installment plan should be aware of
    14·1 answer
  • The Petit Chef Co. has 11.6 percent coupon bonds on the market with ten years left to maturity. The bonds make annual payments a
    8·1 answer
  • Jones Manufacturing needs $450,000 to build a new plant. It must also spend $200,000 on new equipment for the plant. Both of the
    12·1 answer
  • A rectangular storage container with an open top has a volume of 14 m3. The length of its base is twice its width. Material for
    13·1 answer
  • Bill owns a company called Wild Bill's Bracelets that sells custom jewelry. He launched a Search campaign to drive sales of his
    8·1 answer
  • For Wilton Company, the predetermined overhead rate is 70% of direct labor cost. During the month, $360,000 of factory labor cos
    9·2 answers
  • Why might an individual find a $20 Federal Reserve Note to be more desirable as a form of money than a $20 gold coin? Which woul
    13·1 answer
  • You are looking at buying a stock and holding for 3 years. A stock will pay a dividend of $1 in 1 year, a dividend of $2 in 2 ye
    6·1 answer
  • Drag the tiles to the boxes to form correct pairs.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!