Angela is crocheting scarfs for seniors at the nursing home. She needs 20 1/4 yards of yarn for each scarf. If she is given 324 yards of yarn by the craft shop, how many scarves ca she crochet?
A 16 scarves
B 304 scarves
C 344 scarves
D 32 scarves
To find the number of scarves Angela can crochet, we need to divide the total yards of yarn by the amount of yarn needed for each scarf.
Number of scarves = Total yards of yarn / Yards of yarn needed per scarf
Number of scarves = 324 yards / 20 1/4 yards
Number of scarves = (324*4) / (20 + 1/4)
Number of scarves = 1296 / (80/4 + 1/4)
Number of scarves = 1296 / (81/4)
Number of scarves = 1296 * (4/81)
Number of scarves = 2592/81
Number of scarves ≈ 32
Therefore, Angela can crochet approximately 32 scarves with the given amount of yarn.
The answer is D) 32 scarves.
To find out how many scarves Angela can crochet, we need to divide the total yards of yarn she has by the yards of yarn needed for each scarf.
Given:
Total yards of yarn = 324 yards
Yards of yarn needed per scarf = 20 1/4 yards
To convert the mixed fraction into an improper fraction, we multiply the whole number (20) by the denominator (4) and add the numerator (1). This gives us 20 * 4 + 1 = 81/4.
So, the equation would be:
Number of scarves = Total yards of yarn / Yards of yarn needed per scarf
Number of scarves = 324 yards / 81/4 yards
To divide by a fraction, we flip the fraction and multiply:
Number of scarves = 324 yards * 4/81 yards
Now, let's simplify:
Number of scarves = 1296/81
Dividing the numerator by the denominator:
Number of scarves = 16
Therefore, Angela can crochet 16 scarves, so the correct answer is option A: 16 scarves.
To determine how many scarves Angela can crochet, we need to divide the total amount of yarn she has by the amount of yarn needed per scarf.
First, let's convert 20 1/4 yards into a decimal. To do this, convert the fractional part, 1/4, to a decimal by dividing 1 by 4: 1 ÷ 4 = 0.25. Now, add this decimal to the whole number, 20: 20 + 0.25 = 20.25 yards.
Next, divide the total yards of yarn Angela has (324) by the yards needed per scarf (20.25): 324 ÷ 20.25 = 16.
Therefore, Angela can crochet 16 scarves using the given amount of yarn.
The correct answer is A) 16 scarves.