eliott45 eliott45
  • 16-08-2021
  • Mathematics
contestada

How many cups of 15% juice
must be added to 10 cups of
20% juice so that the mixture is
17% juice?

Respuesta :

mhanifa
mhanifa mhanifa
  • 17-08-2021

Answer:

  • 15 cups

Step-by-step explanation:

20% of juice has:

  • 10*0.2 = 2 cups of extract

If x cups of juice added we'll have:

  • 2 + x*0.15 = 0.17(10 + x)
  • 2 + 0.15x = 1.7 + 0.17x
  • 0.17x - 0.15x = 2 - 1.7
  • 0.02x = 0.3
  • x = 0.3/0.02
  • x = 15
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