1. Identify the protein percentages: Grain mixture = 12% CP, Supplement mixture = 20% CP, Target mixture = 16% CP.
2. Calculate the difference between the target and each component:
- Difference from grain: 16% - 12% = 4%
- Difference from supplement: 20% - 16% = 4%
3. Use the differences to determine the ratio: The ratio of grain to supplement is the inverse of the differences, so 4:4 or 1:1.
4. Convert the ratio to parts: 1 part grain mixture to 1 part supplement mixture equals 2 total parts.
5. Scale the parts to match the given total: Since the problem states 8 total parts, multiply each part by 4: 4 parts grain mixture and 4 parts supplement mixture.
6. Verify the final mixture: (4 parts × 12% + 4 parts × 20%) / 8 parts = (48 + 80) / 8 = 128 / 8 = 16% CP, which matches the target.
Parent Tip: Review the logic above to help your child master the concept of pearson square worksheet.
