Question

Messing collected 14 bottles and on Saturday she collected 9 more bottles. She took all her bottles to a recycling center where they paid her b. She had to pay the center a fee of .25$. If she left with $3.20 what is the value of b. she was paid for the 23 botthes so what is the cost of eacj bottle after the cost of the fee is collected?

Answer 1

hello

to solve this question, we ave to write out equations for the scenarios

the total number of bottle is

`14+9=23`

the cost of the bottles is equal to b

`23x=b`

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

`3.20=b-0.25`

we can solve this and find the value of b

`\begin{gathered} 3.20=b-0.25 \\ b=3.20+0.25 \\ b=3.45 \end{gathered}`

since we know the value of b, we can easily find the cost of each bottle

`\begin{gathered} b=23x \\ x=\cos t\text{ of each bottle} \\ b=\text{the amount she earned} \\ 3.45=23x \\ x=(3.45)/(23) \\ x=0.15 \end{gathered}`

from the calculations above, she earned $3.45 from recycling 23 bottles and the cost of each bottle was $0.15