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Paul mixes nuts worth $1.40 per pound with oats worth $1.70 per pound to get 30 pounds of trail mix worth $1.50 per pound. How many pounds of nuts and how many pounds of oats did he use?

Paul used pounds of nuts and pounds of oats.

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adioabiola

The quantity of pounds of nuts and oats used by Paul is 20 and 10 pounds respectively.

According to the question:

  • Let pounds of nuts used = x
  • Let pounds of oats used = y

  • Total quantity of trail mix used = 30 pounds and Overall cost of trail mix = 30 × 1.50 = $45.

The information above can be used to generate two equations as follows;

  • 1.4x + 1.7y = 45.............eqn(1)
  • x + y = 30.......................eqn(2)

Consequently, by solving the equations simultaneously; we have;

  • Pounds of nuts, x = 20 pounds.

  • Pounds of oats, y = 10 pounds.

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