Robert spent 3/8 of his money on food and 3/10 on his house rent what fraction of income is left with him if the money left is 3570 what is his monthly income
1 - 3/8 - 3/10 = 13/40
So, if the original income is x,
13/40 x = 3570
Let's denote Robert's monthly income as "x".
Robert spent 3/8 of his money on food, which is (3/8)*x.
Robert spent 3/10 of his money on house rent, which is (3/10)*x.
The fraction of income left with Robert is given as 3570, thus we have the equation:
x - [(3/8)*x + (3/10)*x] = 3570
To solve for x, we simplify the equation:
x - (3/8 + 3/10)*x = 3570
x - (15/40 + 12/40)*x = 3570
x - (27/40)*x = 3570
Now, we'll multiply through by the denominator to clear the fraction:
40*x - 27*x = 3570 * 40
13*x = 142800
x = 142800 / 13
Evaluating the division gives us:
x ≈ 10984.62
Therefore, Robert's monthly income is approximately $10,984.62.
To find Robert's monthly income, we first need to determine the fraction of his income that is left after spending money on food and house rent.
Let's start by finding the fraction of money left after spending on food. Robert spent 3/8 of his money on food, which means he has 1 - 3/8 = 5/8 of his money left.
Next, let's find the fraction of money left after spending on house rent. Robert spent 3/10 of his money on rent, which means he has 1 - 3/10 = 7/10 of his money left.
Now, we know that the money left is equal to 3570, which represents 5/8 of Robert's income. To find his monthly income, we need to set up the following equation:
(5/8) * Income = 3570
To solve for Income, we can multiply both sides of the equation by (8/5):
Income = (3570) * (8/5) = 5712
Therefore, Robert's monthly income is 5712.