To divide 240 grams in the ratio [tex]\(5:3:4\)[/tex], follow these steps:
1. Understand the ratio parts:
The ratio [tex]\(5:3:4\)[/tex] means we have three parts, and their total is the sum of the individual parts of the ratio.
2. Calculate the sum of the ratio parts:
[tex]\[
5 + 3 + 4 = 12
\][/tex]
This tells us that the total amount will be divided into 12 equal parts.
3. Determine the value of one part:
[tex]\[
\frac{240 \text{ grams}}{12} = 20 \text{ grams}
\][/tex]
This value represents one part according to the ratio.
4. Calculate the amounts for each part based on the ratio:
- For the first part (ratio 5):
[tex]\[
5 \times 20 \text{ grams} = 100 \text{ grams}
\][/tex]
- For the second part (ratio 3):
[tex]\[
3 \times 20 \text{ grams} = 60 \text{ grams}
\][/tex]
- For the third part (ratio 4):
[tex]\[
4 \times 20 \text{ grams} = 80 \text{ grams}
\][/tex]
5. Verify the total:
Add these amounts:
[tex]\[
100 \text{ grams} + 60 \text{ grams} + 80 \text{ grams} = 240 \text{ grams}
\][/tex]
This confirms that our division is correct.
Conclusion:
The 240 grams is divided into:
[tex]\[
100 \text{ grams}, 60 \text{ grams}, \text{and } 80 \text{ grams}
\][/tex]
in the ratio [tex]\(5:3:4\)[/tex].
