The ratio of two numbers. is 4:5.If the larger number is 300. what is the smaller number ?
x : 300 = 4 : 5
x/300 = 4/5
5x + 1200
x = 240
check: 240 : 300 = 4 : 5
To find the smaller number, we can set up a proportion using the given ratio:
Ratio: 4:5
Let's assign variables to the two numbers:
Smaller number = x
Larger number = 300
Now we can set up the proportion:
4/5 = x/300
To solve for x, we can cross-multiply:
4 * 300 = 5 * x
1200 = 5x
Now solve for x:
x = 1200 / 5
x = 240
Therefore, the smaller number is 240.
To find the smaller number in a ratio, you need to use proportion. In this case, the ratio of the two numbers is 4:5, which means that the larger number is four parts and the smaller number is five parts.
First, let's set up the proportion using the given information:
larger number / smaller number = 4/5
Now, substitute the given value into the equation:
300 / smaller number = 4/5
To solve for the smaller number, cross-multiply:
4 * smaller number = 5 * 300
4 * smaller number = 1500
Divide both sides of the equation by 4:
smaller number = 1500 / 4
This simplifies to:
smaller number = 375
So, the smaller number is 375.