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
lapo4ka [179]
3 years ago
12

For thousands of​ years, gold has been considered one of the​ earth's most precious metals. one hundred percent pure gold is​24-

karat gold, which is too soft to be made into jewelry. most gold jewelry is​ 14-karat gold, approximately​ 58% gold. if​ 18-karat gold is​ 75% gold and​ 12-karat gold is​ 50% gold, how much of each should be used to make a​ 14-karat gold bracelet weighing 200 ​grams?
Mathematics
1 answer:
Leona [35]3 years ago
6 0
14 karat gold is 58.3333...% gold
We have 75% gold and 50% gold and we need to make 200 grams of 58.3333...% gold.

A) x + y = 200

B) .75x + .50y = ( (14/24) * 200)
We multiply equation B) by -1.3333... and get
B) -x -.6666...y = -155.5555... then adding A)
A) x + y = 200  we get

.3333...y = 44.4444...

y = 133.3333... grams 12 karat gold
x = 66.6666... grams  18 karat gold

Double-Checking the answer
133.3333... * .5 = 66.6666...
66.6666 * .75 = 50.0000...

Concentration of final solution = (66.6666... + 50) / 200 = 58.3333...% which is 14 karat gold


You might be interested in
What is 1/4 divided by 2/4
Alisiya [41]
\dfrac{1}{4} \div  \dfrac{2}{4}

------------------------------------------------------------------------
Change the divide fraction to multiplication fraction :
------------------------------------------------------------------------

\dfrac{1}{4} \times  \dfrac{4}{2}

------------------------------------------------------------------------
Combine into single fraction :
------------------------------------------------------------------------

\dfrac{4}{8}

------------------------------------------------------------------------
Reduce to simplest form :
------------------------------------------------------------------------

\dfrac{4 \div 4}{8 \div 4} =  \dfrac{1}{2}

8 0
3 years ago
Simplify.<br> 19x - 7x + 25<br> The simplified expression is
Viktor [21]

Answer:

12x+25

Step-by-step explanation:

19x-7x+25=12x+25

8 0
3 years ago
A taco stand sells tacos for $3.25 each. The stand’s expenses for the day are $210. Define your
Alona [7]
<span>X is the number of tacos needed to make $210.
3.25X greater than or equal to $210.
X greater than or equal to 210/3.25.
X greater than or equal to 64.6.
The stand needs to sell at least 65 tacos to make a profit. </span>
7 0
3 years ago
A rectangle has a length that is 12 centimeters longer than its width. Let x represent the width of the rectangle. Which of the
Jlenok [28]

Answer:

Step-by-step explanation:

if x is the size of the width, then that means that the length would be x + 12.

now area is = to L * W

that means that (x) * (x+12) = Area

so multiply it out,

you get that x^2 + 12x = Area

6 0
3 years ago
Jerald is planning on driving his car to the family reunion. The distance to the
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

C

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the square of <br> -1/7
    6·1 answer
  • How do you solve System of Equations?
    13·2 answers
  • What does 44/75 equivalent to?????
    15·1 answer
  • A cyclist travels from Ato B in two stages. Stage one is 28kmwhich is 2/7 of the total journey . How long is stage 2
    10·1 answer
  • PLEASE HELP and can you show your work and say which number you are answering thank you
    8·1 answer
  • Write an inequality for the situation to pay a child's price you must be 12 years or younger why is there not only one correct a
    11·1 answer
  • Ziggy earns $400 per week plus $75 for every sale he makes. His goal is to earn more than $1,200 this week. What is the least nu
    11·1 answer
  • Plz help i don't wnat links i want you to show the answer on here i trust you will.
    5·1 answer
  • Find all numbers whose absolute value is 7.
    9·1 answer
  • What is the y-coordinate for the solution to the system of equations?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!