Before we can determine what are being asked, let's first identify the equivalent of an inch to a yard. We get,
[tex]\text{ 1 yard = }36\text{ inches}[/tex][tex]\text{ 1 square yard}^{}=1296\text{ square inches}[/tex]Since we are asked to answer in yards, let's convert the given measures of Gray Fabric and Burgundy.
[tex]\text{Gray Fabric = 523 (in}^2)\text{ x }\frac{1\text{ y}d^2}{1296(in^2)}\text{ = }\frac{523}{1296}=0.40yd^2^{}[/tex][tex]\text{ Burgundy Fabric = 1318 (in}^2)\text{ x }\frac{1yd^2}{1296(in^2)}\text{ = }\frac{1318}{1296}=1.02yd^2[/tex]a.) Gray Fabric = 523 in.^2 = 0.40 yd.^2
b.) Burgundy Fabric = 1318 in.^2 = 1.02 yd.^2
c.) Total yards of fabric Emily will buy = 0.40 yd.^2 + 1.02 yd.^2 = 1.42 yd.^2