To determine how much money Liz had raised before yesterday, we need to find the correct equation and solve for [tex]\( r \)[/tex].
Given the context:
- Yesterday, Liz raised [tex]\( \$16 \)[/tex].
- This brought her total raised funds to [tex]\( \$47 \)[/tex].
We can set up an equation where [tex]\( r \)[/tex] represents the amount of money Liz had raised before yesterday. Let's analyze each provided equation:
1. [tex]\( r + 16 = 47 \)[/tex]
2. [tex]\( 16r = 47 \)[/tex]
3. [tex]\( r - 16 = 47 \)[/tex]
4. [tex]\( \frac{r}{16} = 47 \)[/tex]
The correct equation to describe the situation is:
[tex]\[ r + 16 = 47 \][/tex]
This equation states that the amount Liz had raised before yesterday ([tex]\( r \)[/tex]) plus the amount she raised yesterday (\[tex]$16) equals the total amount she has now (\$[/tex]47).
Next, let's solve for [tex]\( r \)[/tex]:
[tex]\[ r + 16 = 47 \][/tex]
To isolate [tex]\( r \)[/tex], subtract 16 from both sides of the equation:
[tex]\[ r + 16 - 16 = 47 - 16 \][/tex]
This simplifies to:
[tex]\[ r = 31 \][/tex]
Therefore, Liz had raised \$31 before yesterday.
