![iBrain](/avatars/18405.jpg)
iBrain
15.07.2019 •
Mathematics
Apharmacist wants to mix a 16% saline solution with a 44% saline solution to get 28 l of a 36% saline solution. how much of each solution should she use? 19 l of the 16% solution; 9 l of the 44% solution 9 l of the 16% solution; 19 l of the 44% solution 8 l of the 16% solution; 20 l of the 44% solution 20 l of the 16% solution; 8 l of the 44% solution
Solved
Show answers
More tips
- D Dating, Love, Relationships Why do we feel shame?...
- S Style and Beauty How to Properly Apply Eye Makeup: Tips from a Professional Makeup Artist...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- F Food and Cooking Discover How to Properly Prepare Dough for Rasstegai...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
Answers on questions: Mathematics
- M Mathematics Solve the inequality -5/6x -2 -1...
- M Mathematics Determine whether 0 is a solution of inequality. x -3 is o a solution yes or no if yes how u get to solution...
- M Mathematics Can you teach me vlt(vertical line test) in algebra with example?...
- M Mathematics Worth 25 ! what is 30% of 110? show work...
- M Mathematics Least to greatest: 2.7, 2.59, 2 7/12 word problem: brian operates an ice cream stand in a large city. he spends 0.4 of his budget on supplies, 1/12 on advertising, and 0.08 on...
- M Mathematics Bryan needs to build a fence around his rectangular vegetable garden. the length will be 2 feet longer than the width. if he uses 16 feet of fencing; what will be the length...
- M Mathematics The sum of a number and 20 is greater than four the number decreased by one...
- M Mathematics Add parentheses to make this equation true 4+8-2×3-7=15...
- M Mathematics Mrs. miller takes her dog to be groomed. the fee to groom the dog is $75 plus 6.75% tax. is $80 enough to pay for this service. a. how much does it cost to have the dog groomed?...
- M Mathematics The area of the rectangle is 14 square feet. if it’s width is 1 1/3 feet,find the length...
Ответ:
You need a table to solve this problem. It will consist of 3 rows and 3 columns. The column across the top will be "number of liters", second column will be "% saline", and third column will be "total". First row will be 16% saline, second row will be 44% saline, and third row will be the "mix", the sum of the 2 strengths of solution. In the first row first column we will put x, since we don't know how much 16% saline we have. First row second column we will put .16, since that is the decimal equivalent to 16%, and in the total column we will put the product of x and .16 which is .16x. Second row first column we put a y since we don't know how much 44% saline solution we have. Second row second column we have .44 since that is the decimal equivalent to 44%, and the third column is the product of those 2 which is .44y. In the "mix" row, we have 28 in the first column since we want 28 L of the new solution, and in the second column we have .36 since we want this new solution to be 36% saline. The product of those 2 will go into the third column. That number is 10.08. The first column is the number of liters of solution. We know that we are adding the 2 different strength solutions to get a new solution with a new strength, so that equation, going straight down the first column, is x + y = 28. Going straight down the third column, we will add the strengths of these solutions. .16x + .44y = 10.08. We solve the first equation for x and get x=28-y. Sub that value into the second equation in place of x to get
.16(28-y) + .44y = 10.08. Distribute through the parenthesis to get 4.48 - .16y + .44y = 10.08. Combine like terms to get .28y = 5.6. Divide by .28 to get that y = 20. That means there are 20 liters of 44% saline in the mixture. If there are a total of 28 liters, then that means that there is 8 liters of 16% saline solution in the mixture.
Ответ: