Question

shadesrus charges $20 per day to rent a lawn chair and $15 per day to rent an umbrella Dan and Lisa paid a total of $245 to rent lounge chair and umbrella during their vacation these are rented this year and umbrella for one day and less than the following equation represents the situation where X represents the number of days that invented the lounge chair and umbrella 20x + 15x + 20(x -1)+15(x-1)=245.what is the total amount that I paid rent the last year and umbrella during his vacation a $80 b.105 dollars c.140 d.$17

Answer 1

To determine how much did Dan pay to rent the chair and umbrella, you have to determine the number of days he rented them. To determine the number of days, you have to solve the given equation for x:

`20x+15x+20(x-1)+15(x-1)=245`

-First, distribute the multiplications on the parentheses terms:

`\begin{gathered} 20x+15x+20\cdot x+20\cdot(-1)+15\cdot x+15\cdot(-1)=245 \\ 20x+15x+20x-20+15x-15=245 \end{gathered}`

-Second, order the like terms together and simplify them:

`\begin{gathered} 20x+15x+20x+15x-20-15=245 \\ 70x-35=245 \end{gathered}`

-Third, pass "-35" to the right side of the equation by applying the opposite operation to both sides of it:

`\begin{gathered} 70x-35+35=245+35 \\ 70x=280 \end{gathered}`

-Fourth, divide both sides by 70 to determine the value of x:

`\begin{gathered} (70x)/(70)=(280)/(70) \\ x=4 \end{gathered}`

x=4 indicates that Dan rented the chair and umbrella for 4 days.

Now that we know for how many days he rented the umbrella and chair, we can determine how much he cost. To do so you have to do as follows:

`\begin{gathered} 20x+15x \\ 20\cdot4+15\cdot4 \\ 80+60=140 \end{gathered}`

Dan spent $140 to rent the chair and umbrella.