Question

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?

Answer 1

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 equation: 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