Question

If a 121 miles trip took 5 1/2 gallons of gas, how many miles can be driven with a full tank of 13 gallons

Answer 1

First, find the unit rate. Do 121 divided by 5.5 gallons of gas. This equates to 22 miles per gallon. Then, do 22*13, because you are finding how many miles you can go with 13 gallons of gas. Therefore, you would be able to go, 286 miles in total.

Answer 2

Taking into account the rule of three, 286 miles can be driven with a full tank of 13 gallons.

Rule of three

The rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: $x=\frac{cxb}{a}$

What is the distance of the trip

To know the distance of the trip, a rule of three such as the following can be applied: if a 121 miles trip took 5 1/2 gallons of gas, how many miles can be driven with a full tank of 13 gallons?

5 1/2 gallons (5.5 gallons) ⇒ 121 miles

13 gallons ⇒ distance

So: $distance=\frac{13 gallonsx121 miles}{5.5 gallons}$

Solving:

distance=286 miles

In summary, 286 miles can be driven with a full tank of 13 gallons.

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