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 [tex]3\frac{3}{4}[/tex] ounces
Step-by-step explanation:
Given
[tex]Bottles = 5[/tex]
[tex]Weight(Bottle) = 7\frac{1}{4}[/tex]
[tex]Apples = 6[/tex]
[tex]Weight(Apple) = 6\frac{1}{2}[/tex]
Required
Determine which basket is heavy
and by how much?
First, we need the total weight of each basket.
For the bottles' basket
[tex]Total\ Weight = Weight * Bottles[/tex]
[tex]Total\ Weight = 7\frac{1}{4} * 5[/tex]
[tex]Total\ Weight = \frac{29}{4} * 5[/tex]
[tex]Total\ Weight = \frac{29 * 5}{4}[/tex]
[tex]Total\ Weight = \frac{145}{4}[/tex]
[tex]Total\ Weight = 36\frac{1}{4}[/tex]
For the bottles' basket
[tex]Total\ Weight = Weight * Apples[/tex]
[tex]Total\ Weight = 6\frac{1}{2} * 5[/tex]
[tex]Total\ Weight = \frac{13}{2} * 5[/tex]
[tex]Total\ Weight = \frac{13* 5}{2}[/tex]
[tex]Total\ Weight = \frac{65}{2}[/tex]
[tex]Total\ Weight = 32\frac{1}{2}[/tex]
By comparing both total weights, [tex]36\frac{1}{4} > 32\frac{1}{2}[/tex]
Hence:
The basket of bottles weighs more than the basket of apples
Calculating the difference:
[tex]Difference = 36\frac{1}{4} - 32\frac{1}{2}[/tex]
[tex]Difference = \frac{145}{4} - \frac{65}{2}[/tex]
[tex]Difference = \frac{145 - 130}{4}[/tex]
[tex]Difference = \frac{15}{4}[/tex]
[tex]Difference = 3\frac{3}{4}[/tex]
Hence:
It weighs more by [tex]3\frac{3}{4}[/tex] ounces
