![Superstar7180](/avatars/40870.jpg)
Superstar7180
19.02.2020 •
Mathematics
A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of each of the two alloys should be used to make an alloy that contains 82.5 g of gold and 113 g of lead?
Solved
Show answers
More tips
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- C Computers and Internet Where did torrents.ru move to?...
- B Business and Finance Understanding Cash Flow: What It Is and How It Works...
- C Computers and Internet What Are Peers and Seeds in Torrenting?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
- G Goods and services How to Choose the Right High Chair for Your Baby?...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
Answers on questions: Mathematics
- M Mathematics A helicopter is hovering at 350 feet above sea level. At the same time, a submarine is at 200 feet below sea level. What is the difference in elevation between the two?...
- M Mathematics A bond with a face value of $200,000 was redeemed at 94 when the carrying value of the bond was $208,000. The entry to record the redemption would include a...
- M Mathematics Match the real-world descriptions with the features they represent within the context of Melissa’s garden. Not all tiles will be used. Tiles length of the tomato patch when the area...
- M Mathematics Please help me with this...
- M Mathematics A circle C has center at the origin and radius 7. Another circle K has a diameter with one end at the origin and the other end at the point (0,10). The circles C and K intersect in...
- M Mathematics Someone help me on this question #14 It’s about Equations and inequalities 7th grade mathematics...
- M Mathematics FREE 100 POINTS, TAKE ALL U WANT...
- M Mathematics There are two trails near Leo s house that he runs regularly, a short loop and a long loop. Last week, he ran 6 short loops and 5 long loops, for a total of 75 kilometers. This week,...
- M Mathematics A teacher s salary was #3300 A $ after she had received an increase of 10%. Calculate the teacher s Salary if she had received an increase of 20% instead....
- M Mathematics Please help me solve this answer!...
Ответ:
490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
Ответ:
sqrt 10 = 3.16
sqrt 15 = 3.87
So the difference would be 0.7
I hope this helps! :)
~Ayden