Question

One gallon of polyurethane can cover 350 square feet. Find the area that 2.5 gallons of the same can cover.

Answer 1

Hint:When value of some quantity “q” equals to some “x” value of another quantity “t”, and the question asks us to find the answer to the value of n quantity of “q”, we use the “unitary method”. One might also think of this, find the value of one. And multiply to find the value of the required quantities.

Complete step by step solution:
The question is a word problem. To change that into numerical form, let us first decipher it.
One gallon of polyurethane covers 350 square feet.
The above line can be visualized as,
1-gallon polyurethane \[ \to {\text{ }}350{\text{ }}fee{t^2}\]
The question now asked in the second line of the word problem is,
How much area will 2.5 gallons cover?
The question can be visualized as,
2.5-gallons polyurethane\[ \to {\text{ ?}}\]
The answer lies in simple multiplication.
If 1 unit of x can give us 350 of y. Then 2.5 of x will give us $2.5 \times 350$of y.
Thus, 2.5 gallons of polyurethane can cover $2.5 \times 350\;fee{t^2} = 875fee{t^2}$

Note: The unitary method is a technique for solving an issue by first finding the
worth of one unit, and so finding the mandatory value by multiplying the one-unit value. In essence, this method is employed to search out the worth of a unit from the worth of a multiple, and hence the worth of a multiple. There can be two styles of the unitary method supporting direct variation and inverse variation.