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
ELEN [110]
3 years ago
6

A pharmacist has 30% and 60% iodine solutions on hand. How many liters of each iodine solution will be required to produce 6 lit

ers of a 50% iodine.

Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

4 liters of 60% solution; 2 liters of 30% solution

Step-by-step explanation:

I like to use a simple, but effective, tool for most mixture problems. It is a kind of "X" diagram as in the attachment.

The ratios of solution concentrations are 3:6:5, so I've used those numbers in the diagram. The constituent solutions are on the left; the desired mixture is in the middle, and the numbers on the other legs of the X are the differences along the diagonals: 6 - 5 = 1; 5 - 3 = 2. This tells you the ratio of 60% solution to 30% solution is 2 : 1.

These ratio units (2, 1) add to 3. We want 6 liters of mixture, so we need to multiply these ratio units by 2 liters to get the amounts of constituents needed. The result is 4 liters of 60% solution and 2 liters of 30% solution.

_____

If you're writing equations, it often works well to let the variable represent the quantity of the greatest contributor—the 60% solution. Let the volume of that (in liters) be represented by v. Then the total volume of iodine in the mixture is ...

... 0.60·v + 0.30·(6 -v) = 0.50·6

... 0.30v = 0.20·6 . . . . subtract 0.30·6, collect terms

... v = 6·(0.20/0.30) = 4 . . . . divide by the coefficient of v

4 liters of 60% solution are needed. The other 2 liters are 30% solution.

You might be interested in
What times 2 equels -108
Igoryamba
-54 i think is the answer 
8 0
3 years ago
Read 2 more answers
Help asap, please
makkiz [27]

Answer:

triangle ABC was translated up 4units and left 4 units

Step-by-step explanation:

8 0
2 years ago
The wall is to be 5ft by 7 ft. A brick is 4 inches by 12 inches. How many bricks are needed
Tatiana [17]

you need 83 bricks i believe

3 0
3 years ago
(08.05, 08.06 MC)
natali 33 [55]
Bbbbbbbbbbbbbbbbbbbbb

7 0
1 year ago
Dave makes 12 groups of 10 rocks and has none left over. How many rocks does Dave have?
zhannawk [14.2K]


120

because 12X10 is 120 and he has 12 groups of 10

5 0
3 years ago
Read 2 more answers
Other questions:
  • Need help please, thank you
    12·1 answer
  • I think the answer is 38 but i’m not sure.
    11·1 answer
  • PLEASSSEEEEEEEEEEE HELP ME EEEEEEEEEEEEEEE
    11·1 answer
  • Use the reverse of the distributive property to find the original expression. 5a + 10b - 25c
    10·1 answer
  • Round 9245 to the nearest hundred
    10·1 answer
  • You have two credit cards, A and B. Card A has a balance of $689.33, and Card B has a balance of $854.4. The minimum monthly pay
    7·1 answer
  • 9<br> 9. What is the slope of the line y = 3x + 2?
    9·1 answer
  • Cmon answer this please <br> solve it and then list it to greatest to least
    5·1 answer
  • Given that justin is collecting data on reaction time, what type of data is he working with?.
    6·1 answer
  • Find the distance between the two points in simplest radical form. (−3,6) and (−8,−6)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!