Respuesta :
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.
