Brett is knitting hats that each take 1 23 skeins of yarn He

Brett is knitting hats that each take 1 2/3 skeins of yarn. He started with 5 2/3 skeins of yarn. a. How many hats can he make completely? Sketch a diagram to show your answer and state the answer clearly. b. When he has finished making these hats, how much yarn will he have left (how many skeins)? c. Use a division algorithm to find the quotient. State the final answer as a mixed number.

Solution

SOLUTION

Quantity (skeins) of yarn available = 5 ²/₃ = 17/3 ........... (1)

Quantity (skeins) of yarn required per hat = 1 ²/₃ = 5/3 ........... (2)

Number of complete hats that can be made = quotient of (1)/(2) = (17/3)/(5/3) = 17/5 => quotient = 3 and remainder = 2

=> Number of complete hats = 3 and left over yarn = 2/3 skein ANSWER