Question

Everyday Math

Answer 1

Answer:

261.81818181

Step-by-step explanation:

400÷275=x

x×180

Answer 2

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:

• Given that a 275 gallon of oil tank costs $400 to fill.

• We need to find how much it would cost to fill a 180 gallon oil tank.

• Use the unitary method to find the answer.

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.

$\begin{aligned}\frac{\text { cost }}{\text { Gallons of Gas }} &=\frac{\text { cost }}{\text { Gallons of Gas }} \\\frac{\ 400}{275} &=\frac{x}{180}\end{aligned}$

Multiplying both sides by 180 we get,

$\begin{aligned}\frac{\ 400}{275} \times 180 &=\frac{x}{180} \times 180 \\x &=\frac{\ 400}{55} \times 36 \\x &=\ 261.8\end{aligned}$

Step 2 of 2

To check if the answer is reasonable, we substitute it back in the formed proportion

$\frac{\ 400}{275}=\frac{x}{180}$

We found x=$261.8 hence,

$\frac{\ 400}{275}=\frac{\ 261.8}{180} \ 1.45=\ 1.45 Here, L H S=R H S$

Hence, our answer is correct.