The correct answers are:
Box-1: [tex]\frac{3\thinspace ft}{1\thinspace yd}[/tex]
Box-2: [tex]\frac{12\thinspace \thinspace in}{1\thinspace ft}[/tex]
Box-3: [tex]\frac{1\thinspace stud}{15\thinspace in}[/tex]
Box-4: 42 studs
Explanation:
Given:
Wall is 17.5 yds long.
In 1 yard, there are 3 feet.
Therefore,
[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}[/tex]
In Box-1, you should put [tex]\frac{3\thinspace ft}{1\thinspace yd}[/tex].
In 1 foot, there are 12 inches.
Therefore,
[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}*\frac{12\thinspace in}{1\thinspace ft}[/tex]
In Box-2, you should put [tex]\frac{12\thinspace \thinspace in}{1\thinspace ft}[/tex].
He needs to place 1 stud every 15 inches.
Therefore,
[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}*\frac{12\thinspace in}{1\thinspace ft}*\frac{1\thinspace stud}{15\thinspace in}[/tex]
In Box-3, you should put [tex]\frac{1\thinspace stud}{15\thinspace in}[/tex].
Now multiple all the numbers, you will get the number of studs.
[tex]\frac{17.5\thinspace yd}{1} * \frac{3\thinspace ft}{1\thinspace yd}*\frac{12\thinspace in}{1\thinspace ft}*\frac{1\thinspace stud}{15\thinspace in} = 42\thinspace studs[/tex]
In Box-4, write 42 studs.
-i
