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Math  /  Numbers & Operations

QuestionExample: 15%15 \% of the cost of a computer was tax. If the tax is $180\$ 180, what was the original cost of the computer?

Studdy Solution

STEP 1

1. The tax rate is 15% 15\% .
2. The tax amount is $180 \$180 .
3. We need to find the original cost of the computer before tax.

STEP 2

1. Define the variable.
2. Set up the equation.
3. Solve the equation.

STEP 3

Let x x be the original cost of the computer.

STEP 4

Set up the equation using the given tax rate and tax amount.
The tax is 15% 15\% of the original cost, so we have:
0.15×x=180 0.15 \times x = 180

STEP 5

Solve the equation for x x .
Divide both sides by 0.15 0.15 to isolate x x .
x=1800.15 x = \frac{180}{0.15}

STEP 6

Calculate the original cost of the computer:
x=1800.15=1200 x = \frac{180}{0.15} = 1200
The original cost of the computer is:
$1200\boxed{\$1200}

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