Ok so first we have to find out how much a bag of flour weighs. Since 4 bags of flour equals 32 pounds, we can divide 32 by 4 to find the weight of one bag of flour. 32/4=8, so one bag of flour weighs 8 pounds. Now, since 3 bags of flour and two bags of sugar weighs 32 pounds, we can subtract the weight of the flour from the total. Since there are 3 bags of flour, they weigh 24 pounds. 32-24=8, so 2 bags of sugar weighs 8 pounds. Therefor, we can divide 8 by 2 to get 4 pounds, so one bag of sugar weighs 4 pounds. So, the ratio of the weight of a bag of flour to a bag of sugar is 8:4, which can be simplified to 4:2, and finally simplified to 2:1, which is the answer. Hope this helps! -Raiden