Question

Nico is making a quilt thatrequires 10 1/2 yards offabric. He has one piecethat is 4 1/4 yards long andone piece that is 2 1/2 yardslong. How many moreyards of fabric does Niconeed?

Answer 1

The quilt require 10 1/2 yards of fabric.

He has two pieces 4 1/4 and 2 1/2

So, the total yards that he has =

`4(1)/(4)+2(1)/(2)=(17)/(4)+(5)/(2)=(17)/(4)+(10)/(4)=(27)/(4)=6(3)/(4)`

But the quilt need 10 1/2 yards

So, he will need more =

`=10(1)/(2)-6(3)/(4)=(21)/(2)-(27)/(4)=(42)/(4)-(27)/(4)=(42-27)/(4)=(15)/(4)=3(3)/(4)`

so, he will need 3 3/4 yard of fabric.