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hoa [83]
3 years ago
13

A chemist is mixing two solutions, solution A and solution B Solution A is 15% water and solution Bis 20% water. She already has

a
beaker with 10mL of solution A in it. How many mL of solution B must be added to the beaker in order to create a mixture that is 18%
water?
Mathematics
2 answers:
Vitek1552 [10]3 years ago
7 0

Answer: 15mL

<u>Step-by-step explanation:</u>

Create a table. Multiply across and add down. The bottom row (Mixture) creates the equation.

                  <u>  Qty  </u>   ×   <u>   %          </u>   =    <u>  Total           </u>

Solution A     10         15% → 0.15          10(0.15) = 1.5

<u>Solution B      x          20% → 0.20        x(0.20) = 0.20x</u>

Mixture      10 + x   ×    18% → 0.18   =    1.5 + 0.20x

                                  (10 + x)(0.18) = 1.5 + 0.20x

                                    1.8 + 0.18x  = 1.5 + 0.20x

                                    1.8               = 1.5 + 0.02x

                                    0.3              =          0.02x

                                                15  =  x

                   

slavikrds [6]3 years ago
4 0

Answer:

15 mL of the solution with 20% water will be needed.

Step-by-step explanation:

Use the inverse relationship

10 mL * (18-15)% = x mL * (20-18)%

x = 10 mL * (3/2) = 15 mL

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