The following table shows the minimum monthly expenses for Alessandra's family.
Monthly budget
Type	Amount
Housing	
\[\$2{,}200\]
Food	
\[\$830\]
Child care	
\[\$1{,}200\]
Transportation	
\[\$1{,}400\]
Health care	
\[\$900\]
Other necessities	
\[\$1{,}100\]
Taxes	
\[\$1{,}200\]
Savings	
\[\$5{,}300\]
Alessandra's partner contributes 
\[\$6{,}850\] to the monthly budget.
If Alessandra works 
\[140\] hours a month, what is the minimum amount they need to earn per hour to meet her family's budget?
\[\$\]


To determine the minimum amount Alessandra needs to earn per hour, we need to calculate the total monthly expenses and the shortfall Alessandra needs to cover after her partner's contribution.

### Step 1: Calculate the total monthly expenses
We can find the total monthly expenses by summing all the items in the table:

\[
2{,}200 + 830 + 1{,}200 + 1{,}400 + 900 + 1{,}100 + 1{,}200 + 5{,}300 = 14{,}130
\]

So, the total monthly expenses are $\$14{,}130$.

### Step 2: Determine how much Alessandra needs to contribute
Her partner contributes $\$6{,}850$ to the monthly budget. Therefore, the amount Alessandra needs to contribute is the difference between the total expenses and her partner's contribution:

\[
14{,}130 - 6{,}850 = 7{,}280
\]

So, Alessandra needs to contribute $\$7{,}280$.

### Step 3: Calculate the minimum hourly wage
Alessandra works 140 hours per month, so we can calculate the minimum hourly wage by dividing the amount she needs to contribute by the number of hours she works:

\[
\frac{7{,}280}{140} = 52
\]

Therefore, Alessandra needs to earn at least $\$52$ per hour to meet her family's budget.

### Final Answer:
The minimum amount Alessandra needs to earn per hour is $\boxed{52}$.

---

Would you like more details or further clarification on any part? Here are 5 related questions to deepen your understanding:
1. How would the result change if Alessandra worked 160 hours a month?
2. What if Alessandra's partner contributed $\$7{,}500$ instead?
3. How would increasing food expenses by $\$100$ affect the hourly wage?
4. What percentage of the total monthly budget is covered by Alessandra's partner?
5. How would the savings goal impact the required hourly wage if reduced by 20%?

**Tip:** When dealing with multiple expenses, breaking them down step-by-step ensures clarity and accuracy in financial calculations.

The following table shows the minimum monthly expenses for Alessandra's family. Monthly budget Type Amount Housing $2,200 Food $830 Child care $1,200 Transportation $1,400 Health care $900 Other necessities $1,100 Taxes $1,200 Savings $5,300 Alessandra's partner contributes $6,850 to the monthly budget. If Alessandra works 140 hours a month, what is the minimum amount they need to earn per hour to meet her family's budget?

Learn how to calculate the minimum hourly wage Alessandra needs to earn by analyzing a detailed family budget. Understand key concepts such as total expenses, partner contributions, and division in this practical problem suited for high school students (Grades 9-12).

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