SOLUTION: 1). 4 is 2/5 of what number? 2). 4 is 1/3 of what number? These are questions in the book that I need to explain to the students.

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Question 1209894: 1). 4 is 2/5 of what number?
2). 4 is 1/3 of what number?
These are questions in the book that I need to explain to the students.
Found 3 solutions by ikleyn, timofer, math_tutor2020:
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.


(1)  4 is 2/5 of what number ?


     If 4 is 2/5 of some number, then 1/5 of that number is half of 4, i.e. 4/2 = 2.

     Next, since 2 is 1/5 of the number, then the whole number is 5 times 2, i.e.10.


     ANSWER.  4 is 2/5 of  10.




(2)  4 is 1/3 of what number ?


     If 4 is 1/3 of some number, then that whole number is 3 times 4, i.e. 3*4 = 12.


ANSWER.  4 is 1/3 of 12.

Solved, with explanations.




Answer by timofer(104)   (Show Source): You can put this solution on YOUR website!
Q is u/d of what number?


"What Number", N



, your answers
Answer by math_tutor2020(3816)   (Show Source): You can put this solution on YOUR website!

I'll do the first question to get you started.

x = some unknown number
(2/5)x = two fifths of that number, "of" means "multiply"
4 = (2/5)x
5*4 = 2x
20 = 2x
x = 20/2
x = 10
4 is 2/5 of 10

As a check,
(2/5)x = (2/5)*10 = (2*10)/5 = 20/5 = 4
The answer is confirmed.
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