To find: The number of boards, each 2 feet 8 inches long, can be cut from a board 16 feet long.
Answer to Problem 46E
6 boards, each 2 feet 8 inches long, can be cut from a board 16 feet long.
Explanation of Solution
Given information:
A board which is 16 feet long from which smaller boards each 2 feet 8 inches long can be cut.
Formula used:
Conversion rule of converting feet into inches which can be mathematically expressed as,
Division in real numbers is multiplication by reciprocal. If
Here,
Calculation:
Consider the given statement “A board which is 16 feet long from which smaller boards each 2 feet 8 inches long can be cut.”
Recall conversion rule of converting feet into inches which can be mathematically expressed as,
So, 2 feet 8 inches will be evaluated as when 2 is multiplied to 12 and 8 is added to it.
So, 2 feet 8 inches is calculated as,
And 16 feet will be calculated as,
Now, the number of boards, each 2 feet 8 inches long, can be cut from a board 16 feet long,
will be evaluated when
Recall that the division in real numbers is multiplication by reciprocal. If
Here,
So, number of boards, each 2 feet 8 inches long, can be cut from a board 16 feet long,
is calculated as,
Thus, 6 number of boards, each 2 feet 8 inches long, can be cut from a board 16 feet long,
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Algebra 1
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