Answered

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You need new shoes for work which cost [tex]$93. You
are paid $[/tex]497 each week but have other expenses
totaling $472 each week. If you set aside the differ-
ence between your income and expenses each
week, how many pays will it take you to have
enough?
Be sure to show your work.

Sagot :

GinnyAnswer
### 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.
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