Three bags of flour and two bags of sugar weigh 32 pounds. four bags of flour weigh 32 pounds. all bags of flour weigh the same and all bags of sugar weigh the same. what is the ratio of the weight of a bag of flour to a bag of sugar?

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