Answer:
The correct answer is D. 5 scarves and 10 hats
Step-by-step explanation:
1. Let's review the information given for answering the question correctly:
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
2. Let's find the number of scarves and hats that Zahra can knit to meet her goal
Answer A
10 scarves and 5 hats
200 * 10 + 5 * 150 = 2,000 + 750 = 2,750
2,750 exceeds the amount of yarn Zahra has.
Answer B
7 scarfs and 7 hats are less items than the 15 Zahra wants to knit
Answer C
6 scarves and 11 hats
200 * 6 + 11 * 150 = 1,200 + 1,650 = 2,850
2,850 exceeds the amount of yarn Zahra has.
Answer D
5 scarves and 10 hats
200 * 5 + 10 * 150 = 1,000 + 1,500 = 2,500
This option fulfills both conditions of inequality:
*. Minimum of 15 items
*. Less than 2,640 yards of yarn
