Question

A player ran 30 yards in a football game. How many feet did the player run?

Answer 1

Taking into account the change of units, the player ran 90 feets in the football game.

Rule of three

In first place, 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: $x=\frac{cxb}{a}$

The direct rule of three is the rule applied in this case where there is a change of units.

Change of units

To perform in this case the conversion of units, you must first know that 1 yard = 3 feets. So, if 3 feets is 1 yard, how many feets equals 30 yards?

1 yard ⇒ 3 feets

30 yards ⇒ x

So:  $x=\frac{30 yardsx3 feets}{1 yard}$

Solving:

x= 90 feets

In summary, the player ran 90 feets in the football game.

Learn more with this example:

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