Basic Math Examples

$0.04 \cdot (0.8 p) + 0.05 \cdot (0.2 p) = 193.2$

Step 1

Simplify $0.04 \cdot (0.8 p) + 0.05 \cdot (0.2 p)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply $0.8$ by $0.04$ .

$0.032 p + 0.05 \cdot (0.2 p) = 193.2$

Step 1.1.2

Multiply $0.2$ by $0.05$ .

$0.032 p + 0.01 p = 193.2$

Step 1.2

Add $0.032 p$ and $0.01 p$ .

$0.042 p = 193.2$

Step 2

Divide each term in $0.042 p = 193.2$ by $0.042$ and simplify.

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Step 2.1

Divide each term in $0.042 p = 193.2$ by $0.042$ .

$\frac{0.042 p}{0.042} = \frac{193.2}{0.042}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $0.042$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{0.042 p}{0.042} = \frac{193.2}{0.042}$

Step 2.2.1.2

Divide $p$ by $1$ .

$p = \frac{193.2}{0.042}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $193.2$ by $0.042$ .

$p = 4600$