Question

If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo hoo his basket is heavier and by how much

Answer 1

Question:

If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?

Answer:

The basket of bottles weighs more than the basket of apples by
`3(3)/(4)` ounces

Explanation:

Given

`Bottles = 5`

`Weight(Bottle) = 7(1)/(4)`

`Apples = 6`

`Weight(Apple) = 6(1)/(2)`

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

`Total\ Weight = Weight * Bottles`

`Total\ Weight = 7(1)/(4) * 5`

`Total\ Weight = (29)/(4) * 5`

`Total\ Weight = (29 * 5)/(4)`

`Total\ Weight = (145)/(4)`

`Total\ Weight = 36(1)/(4)`

For the bottles' basket

`Total\ Weight = Weight * Apples`

`Total\ Weight = 6(1)/(2) * 5`

`Total\ Weight = (13)/(2) * 5`

`Total\ Weight = (13* 5)/(2)`

`Total\ Weight = (65)/(2)`

`Total\ Weight = 32(1)/(2)`

By comparing both total weights,
`36(1)/(4) > 32(1)/(2)`

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

`Difference = 36(1)/(4) - 32(1)/(2)`

`Difference = (145)/(4) - (65)/(2)`

`Difference = (145 - 130)/(4)`

`Difference = (15)/(4)`

`Difference = 3(3)/(4)`

Hence:

It weighs more by
`3(3)/(4)` ounces