Answer :
### Step-by-Step Solution:
1. Identify Weekly Income:
You earn [tex]$497 each week. 2. Identify Weekly Expenses: Your weekly expenses are $[/tex]472.
3. Calculate Weekly Savings:
To find out how much you can save each week, subtract your weekly expenses from your weekly income.
[tex]\[ \text{Weekly Savings} = \text{Weekly Income} - \text{Weekly Expenses} \][/tex]
Plugging in the numbers we get:
[tex]\[ \text{Weekly Savings} = 497 - 472 = 25 \][/tex]
So, you save [tex]$25 each week. 4. Cost of Shoes: The shoes you want to buy cost $[/tex]93.
5. Calculate Number of Weeks Needed:
To determine how many weeks (pays) it will take to save enough money for the shoes, divide the cost of the shoes by your weekly savings.
[tex]\[ \text{Weeks Needed} = \left\lceil \frac{\text{Cost of Shoes}}{\text{Weekly Savings}} \right\rceil \][/tex]
Plugging in the values, we get:
[tex]\[ \text{Weeks Needed} = \left\lceil \frac{93}{25} \right\rceil \][/tex]
Performing the division:
[tex]\[ \frac{93}{25} = 3.72 \][/tex]
Since you can't save part of a week, you will need to round up to the next whole number. Therefore, it will take you:
[tex]\[ \left\lceil 3.72 \right\rceil = 4 \text{ weeks} \][/tex]
### Result:
It will take you 4 weeks to save enough money to buy the $93 shoes.
1. Identify Weekly Income:
You earn [tex]$497 each week. 2. Identify Weekly Expenses: Your weekly expenses are $[/tex]472.
3. Calculate Weekly Savings:
To find out how much you can save each week, subtract your weekly expenses from your weekly income.
[tex]\[ \text{Weekly Savings} = \text{Weekly Income} - \text{Weekly Expenses} \][/tex]
Plugging in the numbers we get:
[tex]\[ \text{Weekly Savings} = 497 - 472 = 25 \][/tex]
So, you save [tex]$25 each week. 4. Cost of Shoes: The shoes you want to buy cost $[/tex]93.
5. Calculate Number of Weeks Needed:
To determine how many weeks (pays) it will take to save enough money for the shoes, divide the cost of the shoes by your weekly savings.
[tex]\[ \text{Weeks Needed} = \left\lceil \frac{\text{Cost of Shoes}}{\text{Weekly Savings}} \right\rceil \][/tex]
Plugging in the values, we get:
[tex]\[ \text{Weeks Needed} = \left\lceil \frac{93}{25} \right\rceil \][/tex]
Performing the division:
[tex]\[ \frac{93}{25} = 3.72 \][/tex]
Since you can't save part of a week, you will need to round up to the next whole number. Therefore, it will take you:
[tex]\[ \left\lceil 3.72 \right\rceil = 4 \text{ weeks} \][/tex]
### Result:
It will take you 4 weeks to save enough money to buy the $93 shoes.
