Sewing patterns recommend buying extra fabric in case of mistakes. Jessica bought 5 yards of fabric, plus 20% extra fabric.

Derek bought 3 yards of fabric, plus 25% extra. Who bought more fabric? How much more?


Jessica bought 14
yard more than Derek.



Jessica bought 214
yards more than Derek.



Derek bought 14
yard more than Jessica.



Derek bought 214
yards more than Jessica.

1 answer

To determine who bought more fabric, we first need to calculate how much fabric each person bought, including the extra fabric.

For Jessica:

  • Jessica bought 5 yards of fabric.
  • She bought an extra 20% of that fabric.

Extra fabric = 20% of 5 yards = 0.20 × 5 = 1 yard.

Total fabric Jessica bought = 5 yards + 1 yard = 6 yards.

For Derek:

  • Derek bought 3 yards of fabric.
  • He bought an extra 25% of that fabric.

Extra fabric = 25% of 3 yards = 0.25 × 3 = 0.75 yards.

Total fabric Derek bought = 3 yards + 0.75 yards = 3.75 yards.

Comparison:

  • Jessica: 6 yards
  • Derek: 3.75 yards

Now we subtract the total amount of fabric Derek bought from the total amount of fabric Jessica bought:

Difference = 6 yards - 3.75 yards = 2.25 yards.

Thus, Jessica bought 2.25 yards more than Derek. Given the choices, none of them state this result correctly. However, the correct result is Jessica bought 2.25 yards more than Derek.