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 $3\frac{3}{4}$ ounces

Step-by-step explanation:

Given

$Bottles = 5$

$Weight(Bottle) = 7\frac{1}{4}$

$Apples = 6$

$Weight(Apple) = 6\frac{1}{2}$

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

$Total\ Weight = Weight * Bottles$

$Total\ Weight = 7\frac{1}{4} * 5$

$Total\ Weight = \frac{29}{4} * 5$

$Total\ Weight = \frac{29 * 5}{4}$

$Total\ Weight = \frac{145}{4}$

$Total\ Weight = 36\frac{1}{4}$

For the bottles' basket

$Total\ Weight = Weight * Apples$

$Total\ Weight = 6\frac{1}{2} * 5$

$Total\ Weight = \frac{13}{2} * 5$

$Total\ Weight = \frac{13* 5}{2}$

$Total\ Weight = \frac{65}{2}$

$Total\ Weight = 32\frac{1}{2}$

By comparing both total weights, $36\frac{1}{4} > 32\frac{1}{2}$

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

$Difference = 36\frac{1}{4} - 32\frac{1}{2}$

$Difference = \frac{145}{4} - \frac{65}{2}$

$Difference = \frac{145 - 130}{4}$

$Difference = \frac{15}{4}$

$Difference = 3\frac{3}{4}$

Hence:

It weighs more by $3\frac{3}{4}$ ounces