Respuesta :
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,
[tex]\frac{2}{3} \text{ lbs of nails to secure } 3\frac{1}{3} \text{ yards of fence }[/tex]
[tex]\text{ convert } 3\frac{1}{3} \text{ to improper fraction }\\\\\rightarrow 3\frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}[/tex]
Thus we can say,
[tex]\frac{2}{3} \text{ lbs of nails to secure } \frac{10}{3} \text{ yards of fence }[/tex]
Let "x" be the yards of fence secure with 1 lb of nails
Then we get,
[tex]\frac{2}{3} \text{ lbs } = \frac{10}{3} \text{ yards }\\\\1 \text{ lb } = x \text{ yards }[/tex]
This forms a proportion and we can solve the sum by cross multiplying
[tex]\frac{2}{3} \times x = \frac{10}{3} \times 1\\\\2x = 10\\\\x = 5[/tex]
Thus 5 yards of fence can be secure with 1 lb of nails
