Question

"Mane Zalik wants to replace the flooring in his house with a combination of carpet and hardwood flooring, but he cannot exceed a budget of $4,800. The carpet he likes has a cost of $15 per square foot and the hardwood flooring he likes has a cost of $18 per square foot."

a) Determine how much carpet and hardwood flooring he can afford within his budget.
b) Calculate the total cost of carpet and hardwood flooring Mane can purchase with his budget.
c) Find the cost per square foot that Mane can afford for both carpet and hardwood flooring.
d) Identify Mane's preferred flooring type and its cost per square foot.

Answer 1

Mane Zalik can afford a mix of carpet at $15 per square foot and hardwood flooring at $18 per square foot within a $4,800 budget. Calculations must ensure the combined cost of both types of flooring does not exceed the budget. The specific amounts of each flooring type he purchases will reflect his preferences.

Step-by-step explanation:

Mane Zalik wants to replace the flooring in his house with carpet and hardwood flooring within a budget of $4,800. The cost of carpet is $15 per square foot and the cost of hardwood is $18 per square foot.

a) Mane can afford a combination of carpet and hardwood flooring within this budget by solving the equation 15x + 18y ≤ 4800 where x and y are the square footage of carpet and hardwood respectively. These values are subject to the constraint of not exceeding the budget of $4,800.

b) The total cost for carpet and hardwood flooring can be computed by adding the cost of carpet (15 times the square footage of carpet) to the cost of hardwood (18 times the square footage of hardwood), ensuring the sum does not exceed $4,800.

c) To find the cost per square foot Mane can afford for both types of flooring, we need to consider the total square footage he wants to cover and the respective prices of carpet and hardwood.

d) The preferred flooring type is not specified. Mane's choice will be reflected by the specific amounts of each flooring type he decides to purchase, given their costs of $15/sq ft for carpet and $18/sq ft for hardwood.