Verified answer

Answer:

7 bags

Step-by-step explanation:

Let x be the number of 5-kg bags

Let x be the number of 5-kg bagslet y be the number of 10-kg bags

x + y = 12 (Equation 1)

5x + 10y = 85 (Equation 2)

Solve for x using elimination method of solving systems of linear equation. Multiply equation 1 by -10.

-10 (x + y = 12)

-10x - 10y = -120 (New Equation 1)

The variable y can be eliminated by adding equations 2 and the new equation 1...

5x + 10y - 10x - 10y = 85 - 120

-5x = -35

x = 7

Therefore, the farmer bought 7 5-kg bags.

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