High School

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A certain type of nail weighs 0.50 lb per dozen. How many nails are contained in 3.5 lb of these nails?

A. 84
B. 21
C. 0.58
D. 12

Answer :

Answer:

B. 21

Step-by-step explanation:

-> 0.50 x 12 = 6

-> 6 x 3.5 = 21

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Rewritten by : Barada

To find the number of nails in 3.5 lb when 1 dozen weighs 0.50 lb, we calculate (3.5 lb) / (0.50 lb/dozen) to get 7 dozens. Multiplying 7 dozens by 12 nails per dozen, we determine there are 84 nails in total. Therefore, the correct answer is A. 84.

To find out how many nails are contained in 3.5 lb when a dozen weighs 0.50 lb, we need to use a proportion based on the fact that 1 dozen equals 12 nails. So, if 0.50 lb corresponds to 12 nails, we can set up the following equation to solve for the number of nails in 3.5 lb:

(3.5 lb) / (0.50 lb/dozen) = x (nails)

When we perform the division, we find that:

3.5 lb / 0.50 lb/dozen = 7 dozens

Now, to get the total number of nails in 7 dozens, we multiply:

7 dozens x 12 nails/dozen = 84 nails

Therefore, the correct answer is A. 84 nails.