Answer:
first table shown x and second table shown y function.
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......

The common factors are: 2, 2 and 3
Thus the GCF 
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth 
Number of pieces for gold cloth
and
Number of pieces for white cloth 
6/5y-10=-4
move -10 to the other side
sign changes from -10 to 10
6/5y-10+10= -4+10
6/5y= 6
Mutiply by 5/6 for both sides
6/5(5/6)y=6(5/6)
Cross out 6/5 and 5/6 , divide by 5 and 6 then becomes y
Cross out 5 and 6 on the right side
x= 5
Answer : x= 5