Respuesta :
Answer:
The combined weight of all the basket is 9 pounds.
Step-by-step explanation:
Given that,
Weight of berries [tex]W=1\dfrac{1}{4}\ pounds[/tex]
[tex]W=\dfrac{5}{4}\ pounds[/tex]
Suppose, The weights of some of their baskets are ,
Weight of first basket with berries = 2 pound
Weight of second basket with berries = 3 pound
Weight of third basket with berries = 4 pound
Weight of fourth basket with berries = 5 pound
We need to calculate the weight of first basket
Using formula for weight
[tex]W_{b}=W_{b+be}-W_{be}[/tex]
Where, [tex]W_{b+be}[/tex] = weight of basket with berries
[tex]W_{b}[/tex] = weight of basket
[tex]W_{be}[/tex] = weight of berries
Put the value into the formula
[tex]W_{b}=2-\dfrac{5}{4}[/tex]
[tex]W_{b}=\dfrac{8-5}{4}[/tex]
[tex]W_{b}=\dfrac{3}{4}\ pounds[/tex]
Similarly,
We need to calculate the weight of second basket
Using formula for weight
[tex]W'_{b}=W_{b+be}-W_{be}[/tex]
Put the value into the formula
[tex]W'_{b}=3-\dfrac{5}{4}[/tex]
[tex]W'_{b}=\dfrac{12-5}{4}[/tex]
[tex]W'_{b}=\dfrac{7}{4}\ pounds[/tex]
We need to calculate the weight of third basket
Using formula for weight
[tex]W''_{b}=W_{b+be}-W_{be}[/tex]
Put the value into the formula
[tex]W_{b}=4-\dfrac{5}{4}[/tex]
[tex]W_{b}=\dfrac{16-5}{4}[/tex]
[tex]W_{b}=\dfrac{11}{4}\ pounds[/tex]
We need to calculate the weight of fourth basket
Using formula for weight
[tex]W_{b}=W_{b+be}-W_{be}[/tex]
Put the value into the formula
[tex]W_{b}=5-\dfrac{5}{4}[/tex]
[tex]W_{b}=\dfrac{20-5}{4}[/tex]
[tex]W_{b}=\dfrac{15}{4}\ pounds[/tex]
We need to calculate the combined weight of all the basket
On adding weight of all basket
[tex]W= W+W'+W''+W'''[/tex]
Put the value into the formula
[tex]W=\dfrac{3}{4}+\dfrac{7}{4}+\dfrac{11}{4}+\dfrac{15}{4}[/tex]
[tex]W=9\ pounds[/tex]
Hence, The combined weight of all the basket is 9 pounds.
