Question

Mr. Adams used 2/3 lbs of nails to secure 3 & 1/3 yards of fence. How many yards of fence can mr Adams Secure with 1 lb of nails?

Answer 1

5 yards of fence can be secure with 1 lb of nails

Solution:

Given that Mr. Adams used 2/3 lbs of nails to secure 3 & 1/3 yards of fence

To find: yards of fence can mr Adams Secure with 1 lb of nails

From given statement,

`(2)/(3) \text{ lbs of nails to secure } 3(1)/(3) \text{ yards of fence }`

`\text{ convert } 3(1)/(3) \text{ to improper fraction }\\\\\rightarrow 3(1)/(3) = (3 * 3 + 1)/(3) = (10)/(3)`

Thus we can say,

`(2)/(3) \text{ lbs of nails to secure } (10)/(3) \text{ yards of fence }`

Let "x" be the yards of fence secure with 1 lb of nails

Then we get,

`(2)/(3) \text{ lbs } = (10)/(3) \text{ yards }\\\\1 \text{ lb } = x \text{ yards }`

This forms a proportion and we can solve the sum by cross multiplying

`(2)/(3) * x = (10)/(3) * 1\\\\2x = 10\\\\x = 5`

Thus 5 yards of fence can be secure with 1 lb of nails