Final answer:
Pat will need to save for 12 months before she has enough for the down payment.
Step-by-step explanation:
To calculate how long Pat will need to save before she has enough for the down payment, we need to determine the amount of the down payment and divide it by her monthly savings.
The house she wants sells for $95,000 and the lender requires a 5% down payment. So the down payment amount is 5% of $95,000 which is $4,750.
Now we divide the down payment amount by her monthly savings of $425: $4,750 ÷ $425 = 11.176.
Since we can't have a fraction of a month, we need to round up to the nearest whole month. Therefore, Pat will need to save for 12 months before she has enough for the down payment.