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How many oz. of a metal containing 27% platinum must be combined with 4 oz. of a metal containing 3% platinum to form an alloy containing 11% platinum?

Sagot :

Answer:

  • 2 oz

Step-by-step explanation:

Let the added metal is x.

The platinum content remains same on the input and output:

  • x*0.27 + 4*0.03 = (x + 4)*0.11
  • 0.27x + 0.12 = 0.11x + 0.44
  • 0.27x - 0.11x = 0.44 - 0.12
  • 0.16x = 0.32
  • x = 0.32/0.16
  • x = 2

Answer:

2oz

Step-by-step explanation:

x*0.27 + 4*0.03 = (x + 4)*0.11

0.27x + 0.12 = 0.11x + 0.44

0.27x - 0.11x = 0.44 - 0.12

0.16x = 0.32

x = 0.32/0.16

x = 2 hope this helps son