Every month, Ivan spent $300 of this salary. He saves the remainder, which is 5 3 th of his salary. What is his monthly salary?
[The options are in $. Sorry that he makes so little money, the answers must be from 0 to 999.]
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Easy
oh,,good solution...
ohh ... gud one!!!!
The answer is his salary, which is also 300 plus 5 3 of his salary. If x is his salary, 3 0 0 + 5 3 x = x ⟹ x = 7 5 0
oh ! nice solution !!
I made the fractions percentages to easily make use of the law of proportionality.
We know that 2/5 or 40% of his salary is 300.
40 : 300
but 3/5 or 60% of his salary is unknown and thereby I name it "S".
60 : S
Finding S,
40 : 300 = 60 : S
40S = 18000
S = 450
Obviously, adding the 2/5 of his salary with the 3/5 of it makes the whole of it.
2/5 is 450 and 3/5 is 300
450 + 300 = 750
Let's take his salary to be, x then-- he spends $300 and saves, $(x-300), so, 2x/5=x-300 solving x=750
300/2=150= 1/5 of salary multiply by 5 to get the whole salary 750
3/5 is equivalent to 60% and 2/5 is equivalent of course to 40%. By dividing $300 to .40 we get the total salary of $750.
300 is 2/5 of his salary -> from 5/5 (his salary) - 3/5 (savings) 300/2 = 150 150 x 5 = 750
3/5*x=x-300
x=750
very easy
2/5 from the salary are 300. so, the salary of him are 750
Since what he saves is 5 3 th of his salary, so the money spent is ( 1 − 5 3 ) = 5 2 th of his salary.
Let the salary be $x.
Now, 5 2 x = 3 0 0 ⟹ x = 3 0 0 × 2 5 ⟹ x = 1 5 0 × 5 ⟹ x = 7 5 0
He spent $300 He saves the rest(x),x=3/5 of his salary He spent=5/5- 3/5=2/5 of his salary 5/2*300=$750
Let $x$ be Ivan monthly salary: $$x \frac{2}{5} = 300 $$ $$x = 300 \frac{5}{2} = 750 $$
Saved money is 3/5th of salary
Thus,2/5th salary=money spent! If x is salary,then
(2/5)x=300
x=(5/2)300=2.5*300=750
suppose his salary is 'X' so according to the statement- X - 3X/5 = 300 then, X=750
If the amount of $300 is equal to 2/5 of his salary, then we only must write a simple equality to reach the result: (2/5)X = 300, then x= 750 How did i know that 300 is equal to 2/5 of the salary? Well, the introduction said that he only spends 300,00 of his salary, and all the rest is saved, which is equal to 3/5. If we think about the fraction theory just for a couple of seconds, we can realise that what is gone is equal to 1- (2/5) = 3/5.
3x/5=300 then x=750
Let the salary be x , according to condition , total salary- expenditure= 3/5 of his salary i.e x-300=3/5x = 750
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He saves the remainder, which is 3/5th of his salary. So which means he spent 2/5th of his salary.
2/5 of the total salary is $300
okay we used "a" as the total salary 2/5 x a = $300
eliminate the 2/5 by divide it
(2/5)/(2/5) x a = $300/(2/5)
a = $300 x 5/2 a = $750