Joanne paid $27,840 as a down payment for her house. If the down payment was 12 percent of the actual cost of the house, what was the actual cost?

0.12x = 27,840

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Alexis paid $22,900 as a down payment for her new home. If the down payment was 20% of the total price of the house, what was the total price of the house?

To find the actual cost of the house, we can use the information provided that the down payment was 12 percent of the cost.

Step 1: Calculate the down payment as a decimal:
The down payment is given as 12 percent. To convert this to a decimal, divide it by 100.
12 percent = 12/100 = 0.12

Step 2: Set up a proportion:
Let x be the actual cost of the house. We can set up the following proportion:
down payment / actual cost = 0.12 / 1
27840 / x = 0.12 / 1

Step 3: Cross-multiply and solve for x:
Cross-multiplying the proportion gives us:
27840 = 0.12x

Step 4: Solve for x:
To isolate x, divide both sides of the equation by 0.12:
27840 / 0.12 = x
x = 232,000

Therefore, the actual cost of the house was $232,000.