To divide 240 into the ratio of 7:5, follow these steps:
1. Understand the ratio: The ratio 7:5 indicates that for every 12 parts (since 7 + 5 = 12), 7 parts belong to one number and 5 parts belong to the other.
2. Calculate the total number of parts: The sum of the parts in the ratio is 7 + 5, which equals 12. So, the quantity is divided into 12 parts.
3. Determine the value of one part: Divide the total amount by the total number of parts.
[tex]\[
\text{Value of one part} = \frac{240}{12} = 20
\][/tex]
4. Calculate the first number: Multiply the value of one part by the number of parts for the first ratio component (7 parts).
[tex]\[
\text{First number} = 7 \times 20 = 140
\][/tex]
5. Calculate the second number: Multiply the value of one part by the number of parts for the second ratio component (5 parts).
[tex]\[
\text{Second number} = 5 \times 20 = 100
\][/tex]
So, when you divide 240 into the ratio of 7:5, the two numbers are 140 and 100.
