Alison, Caitlin and Laura are sharing three bedroom two bathroom house at $900 rent per fortnight. Their weekly food bill is $210 per week and they save $50 per week for electricity and water. They share the rent based on the size of their bedroom and bathroom and share other cost equally.
Laura = 20m2
Caitlin = 16m2
Alison = 14m2
a) Calculate how much rent each girl will each fortnight
b) Calculate the total cost of living in the property for each girl
c) Laura's take home pay is $520 per week. What fraction of her pay will be needed to cover her rent? Can she afford to live in the biggest room?
For a) you just need to divide that amount of space each girl has by 100 and times it by the total area of the house they are renting. then you times the percentage you get by that cost of rent.
eg: Laura = 20/100x50
= 40%
= 40/100*900
= $360
For b) you calculate their food and water and electricity amount to make them per fortnight, add them and divide by three then you add that on top of the rent
To calculate how much rent each girl will pay fortnightly, we need to determine the proportions of the rent they will contribute based on the size of their bedroom and bathroom.
Step 1: Calculate the total area of bedrooms and bathrooms
Laura's room area = 20m²
Caitlin's room area = 16m²
Alison's room area = 14m²
Total area = Laura's room area + Caitlin's room area + Alison's room area
Total area = 20m² + 16m² + 14m² = 50m²
Step 2: Calculate the proportion of rent each girl will pay based on their room area
Laura's rent = (Laura's room area / Total area) * Total rent
Laura's rent = (20m² / 50m²) * $900 = $360
Caitlin's rent = (Caitlin's room area / Total area) * Total rent
Caitlin's rent = (16m² / 50m²) * $900 = $288
Alison's rent = (Alison's room area / Total area) * Total rent
Alison's rent = (14m² / 50m²) * $900 = $252
a) Each girl will pay the following rent amounts fortnightly:
Laura: $360
Caitlin: $288
Alison: $252
To calculate the total cost of living in the property for each girl, we need to consider rent, food bills, and savings for electricity and water. The shared costs are divided equally among the girls.
b) Total cost for each girl fortnightly:
Laura: Rent ($360) + Food ($210/2) + Savings ($50/2) = $360 + $105 + $25 = $490
Caitlin: Rent ($288) + Food ($210/2) + Savings ($50/2) = $288 + $105 + $25 = $418
Alison: Rent ($252) + Food ($210/2) + Savings ($50/2) = $252 + $105 + $25 = $382
c) To determine the fraction of Laura's pay needed to cover her rent, we divide her rent by her take-home pay:
Fraction of pay for rent = Rent / Take-home pay
Fraction of pay for rent = $360 / $520 = 0.69
Laura will need to allocate 69% of her take-home pay to cover her rent. Since this is a significant portion of her pay, she may find it challenging to afford the biggest room.