x, y are positive integers. When x is divided by y, the remainder is 5. If x/y=5.20, what is the value of x?
To find the value of x when x is divided by y, the remainder is 5, and x/y = 5.20, you can use the following approach:
Let's first express the given information mathematically:
x divided by y with a remainder of 5 can be written as: x = 5y + 5
x/y = 5.20 can be written as: x/y = 520/100
Now, we have two equations:
x = 5y + 5 x/y = 520/100
We can solve the second equation for x:
x = (520/100) * y
Now, let's substitute this expression for x into the first equation:
5y + 5 = (520/100) * y
Now, solve for y:
5y + 5 = (5.20) * y
5y + 5 = 5.2y
Now, subtract 5y from both sides:
5 = 0.2y
Now, divide by 0.2:
y = 5 / 0.2
y = 25
Now that we have found the value of y, we can find the value of x using the first equation:
x = 5y + 5 x = 5 * 25 + 5 x = 125 + 5 x = 130
So, the value of x is 130.
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