Answers

1. Zahra can knit (D) 5 scarves and 10 hats to meet her goal.

   Given information:

   • The total amount of yarn Zahra has = 2,640 yards
   • Amount of yarn per scarf Zahra uses = 200 yards
   • Amount of yarn per hat Zahra uses = 150 yards
   • Zahra wants to knit a minimum of 15 items

   System of inequalities:

   • 200x + 150y ≤ 2,640  
   • x + y ≥ 15

   To find the number of scarves and hats that Zahra can knit to meet her goal:

   (A) 10 scarves and 5 hats –

   • 10 scarves and 5 hats
   • 200 × 10 + 5 × 150 = 2,000 + 750 = 2,750
   • 2,750 exceeds the amount of yarn Zahra has.

   (B) 7 scarves and 7 hats –

   • 7 scarves and 7 hats are fewer items than the 15 Zahra wants to knit.

   (C) 6 scarves and 11 hats –

   • 6 scarves and 11 hats
   • 200 × 6 + 11 × 150 = 1,200 + 1,650 = 2,850
   • 2,850 exceeds the amount of yarn Zahra has.

   (D) 5 scarves and 10 hats –

   • 5 scarves and 10 hats

   • 200 × 5 + 10 × 150 = 1,000 + 1,500 = 2,500

   This option fulfills both conditions of inequality:

   1. Minimum of 15 items
   2. Less than 2,640 yards of yarn

   Therefore, Zahra can knit (D) 5 scarves and 10 hats to meet her goal.

   Know more about inequality here:

   https://brainly.com/question/25275758

   #SPJ4

   The complete question is given below:

   Zahra is knitting items to sell at a craft fair. she has a total of 2,640 yards of yarn. a scarf uses 200 yards of yarn, and a hat uses 150 yards. she wants to knit a minimum of 15 items. this system of inequalities represents this situation, where x is the number of scarves and y is the number of hats. 200x 150y ≤ 2,640 x y ≥ 15 how many scarves and hats can Zahra knit to meet her goal?
   A. 10 scarves and 5 hats

   B. 7 scarves and 7 hats

   C. 6 scarves and 11 hats

   D. 5 scarves and 10 hats

   Reply