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Gre4nikov [31]
1 year ago
13

lin is mixing orange paint for a play. the color takes 3 parts red to 2 parts yellow. if lin has 18 cups of yellow paint how man

y cups of red does he need?
Mathematics
1 answer:
4vir4ik [10]1 year ago
7 0

the number of cups of red Lin needs is 27 cups

Explanation:

number of parts of red = 3

number of parts of yellow = 2

the ratio of red to yellow = 3:2

when lin's number of cups of yellow = 18

let the number of cups of red = x

3 red = 2 yellow

x red = 18 yellow

cross multiply:

3(18) = 2(x)

54 = 2x

divide both sides by 2:

54/2 = 2x/2

x = 27

Hence, the number of cups of red Lin needs is 27 cups

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A chemist has one solution that has 50% acid. She has another solution that is 25% acid. How many liters of the 50% acid solutio
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Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

   x (liters of 25% solution)

   y (liters of 50% solution)

 

Our system of equations will consist of two equations:

   Equation #1 (total volume of solution)

   Equation #2 (total concentration of acid)

 

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

   Equation #1:  x + y = 10

 

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

   Equation #2:  (0.25)(x) + (0.50)(y) =

                            (0.40)(10)

 

We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

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Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

   0.25(x) + 0.50(10 - x) = 0.40(10)

   0.25x + 5 - 0.50x = 4

   -0.25x = 4 - 5

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          x = 4 (liters of 25% solution)

 

Now we'll plug our value for x into Equation #1 and solve for y:

   4 + y = 10

         y  = 10 - 4

         y = 6 (liters of 50% solution)

 

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

   0.25(4) + (0.50)(6) = 0.40(10)

   1 + 3 = 4

         4 = 4 (our answers are correct)

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3 years ago
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Only smart bros know the answer
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Answer:

3.3

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