Four milliliters of ink A is added to 10 milliliters of ink B, forming a mixture of inks. Ink A contains 10% blue pigment. Ink B contains an unknown percentage of blue pigment. The mixture of the two inks contains 35% blue pigment. What percentage of blue pigment is in ink B?
A. 45%
B. 49%
C. 60%
D. 75%

Respuesta :

Answer:

The answer to your question is letter A

Step-by-step explanation:

                   Percent of blue pigment          Milliliters

 ink A                    10%                                        4

 ink B                    ---                                          10

Total volume        35%                                       14

Formula

Total percent x total volume = (percent ink A x A milliliters) +

                                                  (percent ink B x B milliliters)

Substitution

   (0.35 x 14) = ( 0.1 x 4) + (B x 10)

Solve for B

             4.9 = 0.4 + 10B

             10B = 4.9 - 0.4

             10B = 4.5

                 B = 4.5/10

                 B = 0.45 x 100

                 B = 45%

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