Sure, let's solve the problem step by step.
Given:
- The total number of parcels delivered by the company in a year = 320,000 parcels
- The fractions representing the proportions of parcels delivered to each region are as follows:
- [tex]$\frac{23}{40}$[/tex] are delivered to Europe
- [tex]$\frac{13}{40}$[/tex] are delivered to Asia
- [tex]$\frac{1}{10}$[/tex] are delivered to the USA
We need to find the number of parcels delivered to each region.
### (a) Number of parcels delivered to Europe:
The fraction of parcels delivered to Europe is [tex]$\frac{23}{40}$[/tex].
To find the number of parcels delivered to Europe, multiply this fraction by the total number of parcels:
[tex]\[
\text{Parcels to Europe} = \left(\frac{23}{40}\right) \times 320,000
\][/tex]
As a result, the number of parcels delivered to Europe is:
[tex]\[
\text{Parcels to Europe} = 184,000
\][/tex]
### (b) Number of parcels delivered to Asia:
The fraction of parcels delivered to Asia is [tex]$\frac{13}{40}$[/tex].
To find the number of parcels delivered to Asia, multiply this fraction by the total number of parcels:
[tex]\[
\text{Parcels to Asia} = \left(\frac{13}{40}\right) \times 320,000
\][/tex]
As a result, the number of parcels delivered to Asia is:
[tex]\[
\text{Parcels to Asia} = 104,000
\][/tex]
### (c) Number of parcels delivered to the USA:
The fraction of parcels delivered to the USA is [tex]$\frac{1}{10}$[/tex].
To find the number of parcels delivered to the USA, multiply this fraction by the total number of parcels:
[tex]\[
\text{Parcels to USA} = \left(\frac{1}{10}\right) \times 320,000
\][/tex]
As a result, the number of parcels delivered to the USA is:
[tex]\[
\text{Parcels to USA} = 32,000
\][/tex]
So, the numbers of parcels delivered to each region are:
- Europe: 184,000 parcels
- Asia: 104,000 parcels
- USA: 32,000 parcels
