A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 70% salt and Solution B is 95% salt. She wants to obtain 150 ounces of a mixture that is 75% salt. How many ounces of each solution should she use?

Answers

Answer 1
Answer:

Answer:

Solution A: 120 ounces

Solution B: 30 ounces

Step-by-step explanation:

Let's call A the amount of Solution A. Solution A is 70% salt

Let's call B the amount of Solution B. Solution A is 95% salt

The resulting mixture should have 75% salt and 150 ounces .

Then we know that the total amount of mixture will be:

A + B = 150

Then the total amount of salt in the mixture will be:

0.7A + 0.95B = 0.75 * 150

0.7A + 0.95B = 112.5

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.95 and add it to the second equation:

-0.95A -0.95B = 150 * (-0.95)

-0.95A -0.95B =-142.5

-0.95A -0.95B =-142.5

                      +

0.7A + 0.95B = 112.5

--------------------------------------

-0.25A = -30

A = (-30)/(-0.25)

A = 120\ ounces

We substitute the value of A into one of the two equations and solve for B.

120 + B = 150

B = 30\ ounces


Related Questions

how many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antifreeze
What equivalent ratios are less but equivalent to 40:20?
Out of 100 emails, 60 are spam and 48 of those contain the word buy. Of the remaining 40 emails that are not spam, only 4 emails contain the word buy. Given that an email is spam, what is the probability that it contains the word buy?
If x3 = 8 and y3 = 125, whatis the value of y - x?
Tyrone swam eight less than three times as many laps as Marcia if Tyrone swam 13 laps how many laps did Marcia swim

19 + 11 - 12² ÷ 3 (12 - 9) · 11)) - 7 =Use PEMDAS for this.

Also it's a made up question

Answers

PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, subtract the numbers in the parentheses, then multiply by 11.

(12 - 9) = (3)

3 x 11 = 33

19 + 11 - 12^2 ÷ 3(33) - 7

Now, just multiply 33 by 3, and then square 12 (12 x 12).

19 + 11 - 144 ÷ 99 - 7

Now, you can divide 144 by 99, this is an infinite number, so..

144 ÷ 99 = 1.455

19 + 11 - 1.455 - 7

Finally add, then subtract.

30 - 1.455 - 7

28.545 - 7

The final answer is 21.545.

1. Which expression shows 3 less than X?
А 3-х
cx - 3
в 3х

Answers

The expression that shows 3 less than x is (c) x - 3

How to determine the expression that shows 3 less than x?

From the question, we have the following parameters that can be used in our computation:

3 less than x

"less than" here means that we use the negative sign

And also x is greater than 3

i.e. x > 3

So, we have

3 less than x = x - 3

Hence, the expression that shows 3 less than x is (c) x - 3

Read more about expressions at

brainly.com/question/30492964

#SPJ3

Answer:

C: x-3

Step-by-step explanation:

3 less go last

x would go first

and less is the minus sign

WHO WANTS BRANLIEST?!?!?!?!?!?!?!?

Answers

Answer:

I Do

Step-by-step explanation:

Please explain how to do this!!

Answers

9514 1404 393

Answer:

  y = 55°

Step-by-step explanation:

You know the sum of angles in a triangle is 180°. So, ...

  25° +30° +x = 180°

And, you know a linear pair of angles totals 180°:

  x + y = 180°

Substituting for 180°, we have ...

  25° +30° +x = x + y

Subtracting x from both sides, we get a relation that is useful to remember:

  25° +30° = y

  y = 55°

_____

This relation is usually described as ...

  An exterior angle is equal to the sum of the remote interior angles.

You are fencing in a rectangular area of a garden you have only 150 feet of fence do you want the length of the garden to be at least 40 feet you want the width of the garden to be at least 5 feet what is a graph showing the possible dimensions your garden could have? What vegetables will you use? What will they represent? How many inequalities do you need to write?

Answers

Answer:

Length ≥ 40

Width ≥ 5

Perimeter = 2 × (Length + Width)

2 × (Length + Width) ≤ 150

Step-by-step explanation:

To create a graph showing the possible dimensions of the garden, we need to plot the length and width of the rectangular area on the x and y axes, respectively. Since we want the length to be at least 40 feet and the width to be at least 5 feet, we can represent these constraints by the following inequalities:

Length ≥ 40

Width ≥ 5

We also know that the total length of fencing available is 150 feet, which means that the perimeter of the rectangular area must be less than or equal to 150 feet. The perimeter of a rectangle is given by:

Perimeter = 2 × (Length + Width)

So, we can write the inequality representing the perimeter as:

2 × (Length + Width) ≤ 150

To graph the possible dimensions of the garden, we can plot the points that satisfy all three inequalities on the x-y plane.

Regarding the vegetables, it is not clear what vegetables the user would like to plant in the garden. As such, we cannot provide a specific answer to this question.

In summary, we need to write three inequalities to represent the constraints in the problem, and we can graph the solution space using these inequalities.

Anthony makes candies. First, he mixes 1 cup of cream with 2 cups of chocolate. In all, he used 9 cups of these 2 ingredients. How many cups of chocolate does he use in this candy recipe?

Answers

Answer:

  6 cups

Step-by-step explanation:

Anthony's recipe uses 2 cups of chocolate for each 3 cups of the two ingredients. So, the chocolate is 2/3 of the total number of cups of the two ingredients.

  2/3 × 9 cups = 6 cups

Anthony uses 6 cups of chocolate to make the candies.