Answer:
The package where they charge the same must cost $2
Step-by-step explanation:
Given
UPS
[tex]Flat = \$7[/tex]
[tex]Additional = \$2/lb[/tex]
FedEx
[tex]Flat = \$5[/tex]
[tex]Additional = \$3/lb[/tex]
Required
What pound do both charges are the same
Represent the charges with x;
For UPS, it can be written as:
[tex]Charges = 7 +2x[/tex]
For FedEx:
It is:
[tex]Charges = 5 + 3x[/tex]
Equate these charges together
[tex]5 + 3x = 7 + 2x[/tex]
Collect Like Terms
[tex]3x - 2x = 7 - 5[/tex]
[tex]x = 2[/tex]
Hence, the package where they charge the same must cost $2
