Susan wants to make aprons for cooking. She needs one and three fourths yards of fabric for the front of the apron and three eighths yards of fabric for the tie.

Question

Part A: Calculate how much fabric is needed to make 3 aprons? Show every step of your work. (5 points)

Part B: If Susan originally has 7 yards of fabric, how much is left over after making the aprons? Show every step of your work. (5 points)

Part C: Does Susan have enough fabric left to make another apron? Explain why or why not. (2 points)

Answer 1

Part A:

To make one apron, Susan needs 1 and 3/4 yards of fabric for the front and 3/8 yards of fabric for the tie.

For three aprons, the amount of fabric needed for the front would be (1 and 3/4) x 3 = 5 and 1/4 yards.
The amount of fabric needed for the ties would be (3/8) x 3 = 9/8 yards.

So, in total, Susan would need 5 and 1/4 yards + 9/8 yards = (42/8 + 9/8) yards = 51/8 yards of fabric to make 3 aprons.

Part B:

Susan originally has 7 yards of fabric.

To make 3 aprons, Susan needs 51/8 yards of fabric.

The amount of fabric left after making the aprons would be 7 - (51/8) yards = (56/8 - 51/8) yards = 5/8 yards.

Part C:

After making the aprons, Susan has 5/8 yards of fabric left.

Since Susan would need another 51/8 yards of fabric to make another apron, she does not have enough fabric left. 5/8 yards is less than 51/8 yards. Hence, Susan does not have enough fabric left to make another apron.