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Sagot :
To address the problem step-by-step, we will follow a structured approach:
1. Calculate the total monthly income of the household.
2. Summarize and list the monthly expenses provided.
3. Determine the missing monthly expense (school fees).
4. Calculate the possible savings per month for the holiday to Cape Town.
### Step 1: Calculate the Total Monthly Income
Celina's monthly salary: R12,000
Zane's monthly salary: R14,300
Total income per month [tex]\( \textbf{A} \)[/tex] = Celina's salary + Zane's salary
[tex]\[ \text{Total Income} = 12,000 + 14,300 = 26,300 \, \text{R} \][/tex]
### Step 2: List the Monthly Expenses
The expenses are as follows:
- Water & electricity: R1,500
- Rent: R5,200
- Groceries: R4,500
- Car insurance: R875
- Cell phone contract (for 2 phones): R1,200
- Medical aid (family): R2,400
- Fuel: R2,350
- Entertainment: R1,400
- Car installment: R3,500
[tex]\[ \text{Total known expenses} = 1,500 + 5,200 + 4,500 + 875 + 1,200 + 2,400 + 2,350 + 1,400 + 3,500 = 22,925 \, \text{R} \][/tex]
### Step 3: Determine the Missing Monthly Expense (School Fees)
The total expenses recorded in the table are R25,075, which includes all expenses listed above and the school fees (denoted as [tex]\(\textbf{B}\)[/tex]). To find the school fees:
[tex]\[ \text{Total expenses} = \text{Total known expenses} + \text{School fees} \][/tex]
[tex]\[ 25,075 = 22,925 + \text{B} \][/tex]
[tex]\[ \text{B} = 25,075 - 22,925 \][/tex]
[tex]\[ \text{B} = 2,150 \, \text{R} \][/tex]
So, the monthly school fees for both children are R2,150.
### Step 4: Calculate the Possible Savings per Month
Based on the total income and the total expenses, determine how much money the family can save:
Total income per month: R26,300
Total expenses per month: R25,075
[tex]\[ \text{Savings} = \text{Total income} - \text{Total expenses} \][/tex]
[tex]\[ \text{Savings} = 26,300 - 25,075 \][/tex]
[tex]\[ \text{Savings} = 1,225 \, \text{R} \][/tex]
Since they need to save R2,000 per month for the holiday, they currently have a shortfall of:
[tex]\[ \text{Shortfall} = 2,000 - 1,225 \][/tex]
[tex]\[ \text{Shortfall} = 775 \, \text{R} \][/tex]
This means the family must either reduce some of their monthly expenses by R775 or increase their income/earn extra by R775 each month to achieve their savings goal for the holiday to Cape Town in December.
1. Calculate the total monthly income of the household.
2. Summarize and list the monthly expenses provided.
3. Determine the missing monthly expense (school fees).
4. Calculate the possible savings per month for the holiday to Cape Town.
### Step 1: Calculate the Total Monthly Income
Celina's monthly salary: R12,000
Zane's monthly salary: R14,300
Total income per month [tex]\( \textbf{A} \)[/tex] = Celina's salary + Zane's salary
[tex]\[ \text{Total Income} = 12,000 + 14,300 = 26,300 \, \text{R} \][/tex]
### Step 2: List the Monthly Expenses
The expenses are as follows:
- Water & electricity: R1,500
- Rent: R5,200
- Groceries: R4,500
- Car insurance: R875
- Cell phone contract (for 2 phones): R1,200
- Medical aid (family): R2,400
- Fuel: R2,350
- Entertainment: R1,400
- Car installment: R3,500
[tex]\[ \text{Total known expenses} = 1,500 + 5,200 + 4,500 + 875 + 1,200 + 2,400 + 2,350 + 1,400 + 3,500 = 22,925 \, \text{R} \][/tex]
### Step 3: Determine the Missing Monthly Expense (School Fees)
The total expenses recorded in the table are R25,075, which includes all expenses listed above and the school fees (denoted as [tex]\(\textbf{B}\)[/tex]). To find the school fees:
[tex]\[ \text{Total expenses} = \text{Total known expenses} + \text{School fees} \][/tex]
[tex]\[ 25,075 = 22,925 + \text{B} \][/tex]
[tex]\[ \text{B} = 25,075 - 22,925 \][/tex]
[tex]\[ \text{B} = 2,150 \, \text{R} \][/tex]
So, the monthly school fees for both children are R2,150.
### Step 4: Calculate the Possible Savings per Month
Based on the total income and the total expenses, determine how much money the family can save:
Total income per month: R26,300
Total expenses per month: R25,075
[tex]\[ \text{Savings} = \text{Total income} - \text{Total expenses} \][/tex]
[tex]\[ \text{Savings} = 26,300 - 25,075 \][/tex]
[tex]\[ \text{Savings} = 1,225 \, \text{R} \][/tex]
Since they need to save R2,000 per month for the holiday, they currently have a shortfall of:
[tex]\[ \text{Shortfall} = 2,000 - 1,225 \][/tex]
[tex]\[ \text{Shortfall} = 775 \, \text{R} \][/tex]
This means the family must either reduce some of their monthly expenses by R775 or increase their income/earn extra by R775 each month to achieve their savings goal for the holiday to Cape Town in December.
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