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jacobsplashmaster jacobsplashmaster
  • 12-03-2017
  • Mathematics
Answered

How many pounds of almonds worth 20 cents a pound must be mixed with 40 pounds of peanuts worth 40 cents a pound to get a mixture worth 36 cents a pound?

Verified Answer :

taskmasters
taskmasters taskmasters
  • 22-03-2017

to solve the problem we must establish two equations.
let x be the mass of the 20 cents almonds
y be the mass of the 36 cents mixture
first equation is:

x + 40 = y

the second equation is:
0.2x + 40(0.4) = 0.36y

solving the equations simultaneously
x = 10 lb of the 20 cents almonds is needed to mix

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