Marc ordered a rug. He gave a deposit 30% of the cost and will pay the rest when the rug is delivered. If the deposit was $75, how much more does Marc owe? Explain how you found your answer.
Let's begin by finding out the cost of the rug if Marc gave a deposit of 30% of the cost:
30% = 0.30
x = cost of the rug
(0.30)(x) = 75
0.3x = 75
x = 75/0.3
x = $250 (cost of the rug)
So if Marc put down a $75 deposit and the cost of the rug is $250 then the amount he still owes is the difference between these two amounts:
Amount Owed = $250 - $75
Amount Owed = $175
0.3x = 75
x = 250
250 - 75 = $______
To find out how much more Marc owes, we need to calculate the total cost of the rug and then subtract the deposit amount.
Let's assume the total cost of the rug as 'x'.
We know that the deposit amount is 30% of the total cost, which is given as $75. So, we can set up the equation:
0.30x = $75
To solve for 'x', we divide both sides of the equation by 0.30:
x = $75 / 0.30
x = $250
Therefore, the total cost of the rug is $250.
To find out how much more Marc owes, we subtract the deposit amount from the total cost:
Amount owed = Total cost - Deposit amount
Amount owed = $250 - $75
Amount owed = $175
Therefore, Marc owes an additional amount of $175.