Math Problem Statement

Total Electricity bill amount - SAR 500.63 shared between 6 members for the number of days lived accordingly.

The cost per day is divided as per the members lived together, not together as a whole for month. Divide and Calculate Proportional share amount for Each member of a house in a table format with below details for Electricity bill of 31 days.

First determine the number of people living together each day and then distribute the daily cost accordingly.

NUMBER OF days where each member lived: For the first 9 days [01-09], 4 members lived together. (Ali, Jalal, Sabari, Irfan) For the next 2 days (10-11), 3 members lived together. (Jalal, Sabari, Irfan) For the next 10 days (12-21), 4 members lived together. (Mujeeb, Jalal, Sabari, Irfan) For the next 10 days (22-31), 5 members lived together. (Famsic, Mujeeb, Jalal, Sabari, Irfan)

Ali - 9 Days [From 01-9th] Famsic - 10 Days [From 22-31st] Mujeeb - 20 Days [From 01-12th] Jalal - 31 Days [From 01-31st] Sabari - 31 Days [From 01-31st] Irfan - 31 Days [From 01-31st]

Solution

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Math Problem Analysis

Mathematical Concepts

Proportional Distribution
Daily Cost Calculation
Division
Multiplication

Formulas

Daily Cost = Total Bill / Number of Days
Proportional Share per Day = Daily Cost / Number of People per Day
Total Share for Member = Sum of (Proportional Share per Day × Number of Days lived by the Member)

Theorems

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Suitable Grade Level

Grades 8-10