SOLUTION: One-fourth of a number is
greater than one-fifth of the number
succeeding it by 1. Find the number.
a) 24 b) 42 c) 36 d) 48
Algebra.Com
Question 1055619: One-fourth of a number is
greater than one-fifth of the number
succeeding it by 1. Find the number.
a) 24 b) 42 c) 36 d) 48
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The difficulty is in understanding what the wording of the problem means.
Since it is a multiple choice question, once you understand what it means,
all you need to know is basic arithmetic, and trial and error.
ARITHMETIC:
Trying to see if is the answer:
One-fourth of 24 is (24 divided by 4).
The number succeeding it (the number after 24) is 25.
One-fifth of 25 is (25 divided by 5).
Is greater than by 1?
Let's see,
,
so is indeed greater than by one,
and is a possible solution to the problem.
It must be THE one and only solution,
because we had to choose one of the four choices given.
We do not need to try the other choices.
THE ALGEBRA WAY:
= the number
= the number succeeding it
= one-fourth of the number
The wording means that is more than
.
The equation is
To get rid of denominators,
we could multiply both sides of the equal sign times 4 and times 5,
or we could just multiply both sides time in a single step.
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