Subjects algebra

Fabric Comparison C5F124

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1. **State the problem:** Jessica bought 5 yards of fabric plus 20% extra, and Derek bought 3 yards plus 25% extra. We need to find who bought more fabric and by how much. 2. **Calculate Jessica's total fabric:** Jessica's extra fabric is 20% of 5 yards, which is $0.20 \times 5 = 1$ yard. Total fabric Jessica bought is $5 + 1 = 6$ yards. 3. **Calculate Derek's total fabric:** Derek's extra fabric is 25% of 3 yards, which is $0.25 \times 3 = 0.75$ yards. Total fabric Derek bought is $3 + 0.75 = 3.75$ yards. 4. **Compare the amounts:** Jessica bought $6$ yards, Derek bought $3.75$ yards. Difference is $6 - 3.75 = 2.25$ yards. 5. **Express difference as a mixed number:** $2.25 = 2 \frac{1}{4}$ yards. 6. **Conclusion:** Jessica bought more fabric than Derek by $2 \frac{1}{4}$ yards. **Final answer:** Jessica bought 2 1/4 yards more than Derek.