SOLUTION: when one− fourth of a number is added to one-seventh of the numberˏ the sum is 22 what is the number?
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Question 784739: when one− fourth of a number is added to one-seventh of the numberˏ the sum is 22 what is the number?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
MY WAY:
Obviously the number is a positive integer divisible by 4 and 7, so it's divisible by .
I can write the number as , knowing that is a natural number (positivw integer).
= the number
= one-fourth of the number
= one-seventh of the number
What the problem says in words is translated as
or
Solving:
--> --> --> --> -->
If I do not have to explain my thinking, or "show my work", that is a fast way to solve the problem, and may help save time in a multiple choice test.
A MORE TRADITIONAL WAY:
= the number
What the problem says in words is translated as
We multiply both sides times to eliminate denominators
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