Question

If Toni wants to make pillows for the day bed and she has 5 3/4 square feet of fabric left over from the material for the curtain, and each pillow requires 1 1/6 square feet of fabric, how many pillows will Toni have?

(a) 4
(b) 5
(c) 6
(d) 7

Answer 1

Toni has 5 3/4 square feet of fabric and each pillow requires 1 1/6 square feet. By converting to improper fractions and dividing, we find that she can make 4 complete pillows.

Step-by-step explanation:

Given Toni has 5 3/4 square feet of fabric and each pillow requires 1 1/6 square feet of fabric, to determine the number of pillows Toni can make, we need to divide the total fabric by the fabric required for one pillow.

• First, convert the mixed numbers to improper fractions:
  
  5 3/4 = (5×4 + 3)/4 = 23/4
  
  1 1/6 = (1×6 + 1)/6 = 7/6
• Next, divide 23/4 by 7/6 to find out how many pillows can be made:
  (23/4) ÷ (7/6) = (23/4) × (6/7) = 138/28
• Simplify the resulting fraction: 138/28 = 4 remainder 22, or 4 whole pillows with some fabric left.

Therefore, Toni can make 4 complete pillows with the fabric she has, which corresponds to option (a) 4.