Daniel bought four bags of potatoes. The weight of the first bag was 2.6 pounds. The second bag weighed 0.4 pound less than twice the weight of the first bag. The third bag weighed 0.6 pound more than the first bag. The fourth bag weighed 0.3 pound less than the weight of the second bag. What is the average weight of the bags of potato es that Daniel bought? Round your answer to the nearest tenth.

Answer:Average weight of the bags of potatoes is 3.8 pounds.Step-by-step explanation:Given:Weight of the first bag, [tex]W_{1}=2.6[/tex] pounds.Weight of the second bag is 0.4 pounds less than twice the weight of first bag. This means,[tex]W_{2}=2W_{1}-0.4=2(2.6)-0.4=5.2-0.4=4.8\textrm{ pounds}[/tex]Weight of the third bag is 0.6 pounds more than that of the first bag. This means,[tex]W_{3}=W_{1}+0.6=2.6+0.6=3.2\textrm{ pounds}[/tex]Weight of the fourth bag is 0.3 pounds less than that of the second bag. This means,[tex]W_{4}=W_{2}-0.3=4.8-0.3=4.5\textrm{ pounds}[/tex]Therefore, the average weight of the bags of potatoes is given as the sum of all the weights and then divide the sum by 4. Therefore,[tex]W_{average}=\frac{W_{1}+W_{2}+W_{3}+W_{4}}{4}=\frac{2.6+4.8+3.2+4.5}{2}=\frac{15.1}{4}=3.775\approx 3.8[/tex]Therefore, average weight of the bags of potatoes is 3.8 pounds.