Question

Miguel's family sells baskets of berries at the farmers' market. This list shows the weights of some of their baskets. What is the combined weight of all the baskets that weigh exactly 1 1 4 pounds?

Answer 1

The combined weight of all the basket is 9 pounds.

Step-by-step explanation:

Given that,

Weight of berries
`W=1(1)/(4)\ pounds`

`W=(5)/(4)\ pounds`

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

`W_(b)=W_(b+be)-W_(be)`

Where,
`W_(b+be)` = weight of basket with berries

`W_(b)` = weight of basket

`W_(be)` = weight of berries

Put the value into the formula

`W_(b)=2-(5)/(4)`

`W_(b)=(8-5)/(4)`

`W_(b)=(3)/(4)\ pounds`

Similarly,

We need to calculate the weight of second basket

Using formula for weight

`W'_(b)=W_(b+be)-W_(be)`

Put the value into the formula

`W'_(b)=3-(5)/(4)`

`W'_(b)=(12-5)/(4)`

`W'_(b)=(7)/(4)\ pounds`

We need to calculate the weight of third basket

Using formula for weight

`W''_(b)=W_(b+be)-W_(be)`

Put the value into the formula

`W_(b)=4-(5)/(4)`

`W_(b)=(16-5)/(4)`

`W_(b)=(11)/(4)\ pounds`

We need to calculate the weight of fourth basket

Using formula for weight

`W_(b)=W_(b+be)-W_(be)`

Put the value into the formula

`W_(b)=5-(5)/(4)`

`W_(b)=(20-5)/(4)`

`W_(b)=(15)/(4)\ pounds`

We need to calculate the combined weight of all the basket

On adding weight of all basket

`W= W+W'+W''+W'''`

Put the value into the formula

`W=(3)/(4)+(7)/(4)+(11)/(4)+(15)/(4)`

`W=9\ pounds`

Hence, The combined weight of all the basket is 9 pounds.