Question

To paint his apartment, Alex but 6 gallons of paint to cover 1440 ft.². What is the ratio of square feet to gallons of paint?

Answer 1

The ratio of square feet to gallons of paint for Alex's apartment painting project is 240 square feet per gallon.

Step-by-step explanation:

Step 1: Setting Up the Calculation

We are given that Alex bought 6 gallons of paint to cover 1440 ft² of his apartment. We need to find the ratio of square feet to gallons of paint.

Step 2: Ratio Definition

A ratio is a comparison of two quantities by division. We can write it as "a : b", where "a" is the first quantity and "b" is the second quantity.

Step 3: Translating the Problem into a Calculation

In this case, the first quantity is the number of square feet (1440 ft²) and the second quantity is the number of gallons of paint (6 gallons).

Step 4: Applying the Ratio Formula

To find the ratio of square feet to gallons of paint, we use the following formula:

Ratio = Square Feet / Gallons of paint

Step 5: Performing the Calculation

Substituting the given values, we get:

Ratio = 1440 ft² / 6 gallons

Ratio = 240 ft² per gallon

Step 6: Interpretation

Therefore, the ratio of square feet to gallons of paint is 240 : 1. This means that for every 1 gallon of paint, Alex can cover 240 square feet of his apartment.

Answer 2

Answer & Step-by-step explanation:

The ratio of square feet to gallons of paint:

`1440:6`

This can also be written as:

`(1440)/(6)`

This fraction can be simplified by dividing the numerator and denominator by 6:

`(1440)/(6)=(240)/(1)`

So, the ratio of square feet to gallons of paint is:

1 gallon for every 240 ft².

:Done