contestada

How many grams of zinc oxide should be added to 3400 g of a 10%
zinc oxide ointment to prepare a product containing 15% of zinc oxide?

Respuesta :

The amount in grams of zinc oxide should be added to 3400 g of a 10% zinc oxide ointment to prepare a product containing 15% of zinc oxide - 200 grams.

In the given question,

  • the initial amount of zinc oxide is - 10% of 3400 = 340 grams
  • the amount needs to be added - x grams
  • the final product have - 15% of 3400+x

solution:

[tex] \frac{340 + x}{3400 + x} = 0.15 \\ 340 + x = 510 + 0.15x[/tex]

[tex]x = \frac{510 - 340}{1 - 0.15} = 200[/tex]

x = 200 gram.

Thus, the correct amount would be - 200 grams.

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