Question

Two friends are renting a property for a monthly rent of $1150. The total square footage of the property is 1225 ft². The first bedroom is 140 ft² and the second bedroom is 125 ft². Determine how much the friend with the smaller bedroom will pay for rent if they split the cost based on the square footage of each bedroom?

Answer 1

To determine how much the friend with the smaller bedroom will pay for rent, calculate the proportion of the total square footage that each bedroom represents. The first friend with the smaller bedroom will pay $131.80 and the second friend will pay $117.30.

Step-by-step explanation:

To determine how much the friend with the smaller bedroom will pay for rent, we need to calculate the proportion of the total square footage that each bedroom represents. The first bedroom is 140 ft² and the second bedroom is 125 ft². The total square footage of the property is 1225 ft².

To calculate the proportion of the total square footage that each bedroom represents, we can divide the square footage of each bedroom by the total square footage of the property:

First bedroom proportion = 140 ft² / 1225 ft² = 0.1143
Second bedroom proportion = 125 ft² / 1225 ft² = 0.102

Now, we can calculate the rent for each friend based on their bedroom proportion:

First friend's rent = 0.1143 * $1150 = $131.80 (rounded to the nearest cent)
Second friend's rent = 0.102 * $1150 = $117.30 (rounded to the nearest cent)