Answered

Instructions: Write the following real-world situation as an algebraic equation. Do not use any spaces when typing your
answer.
Ariel enjoys collecting artifacts from shipwrecks. She has a collection of thingamabobs (f) and whatzits (w). She is going
to sell some to an antique dealer for [tex]$55. She gets $[/tex]3 per thingamabob and $8 per whatsit. Write the equation
that
represents this relationship.



Answer :

GinnyAnswer
To represent the given real-world situation as an algebraic equation, let's break down the information provided:

1. Variables:
- Let [tex]\( f \)[/tex] be the number of thingamabobs.
- Let [tex]\( w \)[/tex] be the number of whatzits.

2. Values:
- Ariel gets [tex]$3 for each thingamabob. - Ariel gets $[/tex]8 for each whatzit.

3. Total money:
- The total money Ariel gets from selling the thingamabobs and whatzits is [tex]$55. To form an equation from this information, we need to express the total earnings from selling the thingamabobs and whatzits and set it equal to $[/tex]55.

- The total money from thingamabobs is [tex]\( 3f \)[/tex] (since each thingamabob is worth [tex]$3 and there are \( f \) thingamabobs). - The total money from whatzits is \( 8w \) (since each whatzit is worth $[/tex]8 and there are [tex]\( w \)[/tex] whatzits).

When we add these together, we get the total money from selling both types of artifacts:

[tex]\[ 3f + 8w \][/tex]

Since her total earnings are $55, we set up the equation:

[tex]\[ 3f + 8w = 55 \][/tex]

So, the algebraic equation that represents this relationship is:

[tex]\[ 3f+8w=55 \][/tex]