hello
to solve this question, we ave to write out equations for the scenarios
the total number of bottle is
[tex]14+9=23[/tex]the cost of the bottles is equal to b
[tex]23x=b[/tex]where x is representing the cost of each bottle
also, we were told she paid $0.25 and she's left with $3.20
let's put that down
[tex]3.20=b-0.25[/tex]we can solve this and find the value of b
[tex]\begin{gathered} 3.20=b-0.25 \\ b=3.20+0.25 \\ b=3.45 \end{gathered}[/tex]since we know the value of b, we can easily find the cost of each bottle
[tex]\begin{gathered} b=23x \\ x=\cos t\text{ of each bottle} \\ b=\text{the amount she earned} \\ 3.45=23x \\ x=\frac{3.45}{23} \\ x=0.15 \end{gathered}[/tex]from the calculations above, she earned $3.45 from recycling 23 bottles and the cost of each bottle was $0.15
