Taking into account the rule of three, the manager will order 12 small shirts ans 18 large shirts for every 24 medium shirts.
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= (c×b)÷a
Amount of small shirts and large shirts ordered
In this case, you can applied the rule of three as follow:
- A manager of a clothing store always orders 4 medium shirts ordered for every 2 small shirts, for every 24 medium shirts how many small shirts does he order?
amount of small shirts= (24 medium shirts× 2 small shirts)÷4 medium shirts
amount of small shirts= 12
- A manager of a clothing store always orders 4 medium shirts ordered for every 3 large shirts, for every 24 medium shirts how many large shirts does he order?
amount of large shirts= (24 medium shirts× 3 large shirts)÷4 medium shirts
amount of large shirts= 18
In summary, the manager will order 12 small shirts ans 18 large shirts for every 24 medium shirts.
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