Question

a new homeowner is painting the walls of a room. the walls have a total area of 253 square feet. a quart of paint covers quarts are needed?

1. understand the problem. reread it as many times as needed.

which sentence below describes the solution to this problem?
a. the area being painted is the area covered by a quart divided by the number of quarts needed, rounded up to the
b. the number of quarts needed is the area being painted divided by the area covered by a quart, rounded up to the
c. the number of quarts needed is the area covered by a quart divided by the area being painted, rounded up to the
d. the area being painted is the number of quarts needed divided by the area covered by a quart, rounded up to the

1. translate into an equation. substitute the values for the number of square feet being painted and the square feet c

number of quarts is square feet divided by square feet per quart
↓ ↓ ↓ ↓ ↓
number of quarts = 253 + 46

1. solve. perform the division. do not round your answer.

253 ÷ 46 = 5.5 (type an integer or a decimal.)
5.5 quarts are needed to paint the room. since paint is sold in whole quarts only, round up the quotient.
5.5 rounds up to 6.

1. interpret.

the homeowner must buy \\(\square\\) quarts of paint.

Explanation:

Step1: Analyze the problem context

We know the total area to paint is 253 square feet, and a quart of paint covers 46 square feet (from the equation in step 2). We calculated the division \(253\div46 = 5.5\).

Step2: Consider the practical aspect of buying paint

Since paint is sold in whole quarts, we can't buy a fraction of a quart. So we need to round up the decimal result (5.5) to the next whole number. Rounding up 5.5 gives us 6.

Answer:

6