Question

Emily is making a quilt and she has determined she needs 523 square inches of gray fabric and 1318 square inches of burgundy. How many square yards of each material will she need? Round your answers up to the nearest quarter yard. a.) The gray fabric: b.) The burgundy fabric: c.) How many total yards of fabric will she have to buy?

Answer 1

Before we can determine what are being asked, let's first identify the equivalent of an inch to a yard. We get,

`\text{ 1 yard = }36\text{ inches}`
`\text{ 1 square yard}^{}=1296\text{ square inches}`

Since we are asked to answer in yards, let's convert the given measures of Gray Fabric and Burgundy.

`\text{Gray Fabric = 523 (in}^2)\text{ x }\frac{1\text{ y}d^2}{1296(in^2)}\text{ = }(523)/(1296)=0.40yd^2^{}`
`\text{ Burgundy Fabric = 1318 (in}^2)\text{ x }(1yd^2)/(1296(in^2))\text{ = }(1318)/(1296)=1.02yd^2`

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