Question

angie is knitting baby items to sell at a craft fair. she has a total of 1,430 yards of yarn to use for the items. a pair of booties uses 203 yards of yarn and a cap uses 239 yards apiece. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of pairs of booties angie can knit y = the number of caps angie can knit

Explanation:

Step1: Determine yarn - usage expressions

The amount of yarn used for booties is 203 yards per pair. If the number of pairs of booties is $x$, then the total yarn used for booties is $203x$ yards. The amount of yarn used for caps is 239 yards per cap. If the number of caps is $y$, then the total yarn used for caps is $239y$ yards.

Step2: Set up the inequality

Angie has a total of 1430 yards of yarn. The total amount of yarn used for booties and caps must be less than or equal to the total amount of yarn she has. So the inequality is $203x + 239y\leq1430$.

Answer:

$203x + 239y\leq1430$