Answer:
If 275 gallon of oil tank costs $400 to fill.
Then 180 gallon of oil tank costs $261.8 to fill.
Step-by-step explanation:
Step 1 of 2
If 275 gallon of oil tank costs $400 to fill.
Then the cost to fill 180 gallon of oil tank can be found by forming a proportion.
Let the required cost be x.
[tex]$\begin{aligned}\frac{\text { cost }}{\text { Gallons of Gas }} &=\frac{\text { cost }}{\text { Gallons of Gas }} \\\frac{\$ 400}{275} &=\frac{x}{180}\end{aligned}[/tex]
Multiplying both sides by 180 we get,
[tex]$\begin{aligned}\frac{\$ 400}{275} \times 180 &=\frac{x}{180} \times 180 \\x &=\frac{\$ 400}{55} \times 36 \\x &=\$ 261.8\end{aligned}$[/tex]
Step 2 of 2
To check if the answer is reasonable, we substitute it back in the formed proportion
[tex]$\frac{\$ 400}{275}=\frac{x}{180}$[/tex]
We found x=$261.8 hence,
[tex]$\frac{\$ 400}{275}=\frac{\$ 261.8}{180}$$\$ 1.45=\$ 1.45$Here, $L H S=R H S$[/tex]
Hence, our answer is correct.
