michellepuangco michellepuangco
  • 12-11-2022
  • Mathematics
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A spice mixture is 25% thyme. How many grams of thyme must be added to 12g of the mixture to increase the thyme content to 40%?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-11-2022

Answer:

  3 g

Step-by-step explanation:

You want to know the mass of thyme that must be added to 12 g of a spice mix that is 25% thyme in order to make it 40% thyme.

Setup

Let t represent the amount of added thyme (in grams). The amount of thyme in the augmented mix is ...

  0.25(12) + t = 0.40(12 +t)

Solution

Simplifying the equation gives ...

  3 +t = 4.8 +0.40t

  0.6t = 1.8 . . . . . . . . . subtract 0.40t +3

  t = 3 . . . . . . . . . . . divide by 0.6

3 grams of thyme must be added to the mix.

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