two bags of sugar and three bags of flour weight 41 pounds.

however, three bags of sugar and two bags of flour weight 44 pounds.
what is the weight of a bgs of sugar and flour together?

Simultaneous Equations 2s + 3f = 41 3s + 2f = 44 (x2) 4s + 6f = 82 (x3) 9s + 6f = 132 'If the signs are the same, subtract' 4s - 9s = -5s 82 - 132 = -50 -5s = -50 Therefore s = 10 Now, substitute back into the equation (2 x 10) + 3f = 41 20 + 3f = 41 Balance the subtract 20 from both sides 41 - 20 = 21 3f = 21 3f/3 = f 21/3 = 7 f = 7 s + f = x 10 + 7 = 17 pounds