Finite Math Examples

$1.5 (c) + 1.25 (r) = 2380$

Step 1

Subtract $1.25 r$ from both sides of the equation.

$1.5 c = 2380 - 1.25 r$

Step 2

Divide each term in $1.5 c = 2380 - 1.25 r$ by $1.5$ and simplify.

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Step 2.1

Divide each term in $1.5 c = 2380 - 1.25 r$ by $1.5$ .

$\frac{1.5 c}{1.5} = \frac{2380}{1.5} + \frac{- 1.25 r}{1.5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $1.5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{1.5 c}{1.5} = \frac{2380}{1.5} + \frac{- 1.25 r}{1.5}$

Step 2.2.1.2

Divide $c$ by $1$ .

$c = \frac{2380}{1.5} + \frac{- 1.25 r}{1.5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $2380$ by $1.5$ .

$c = 1586.\overline{6} + \frac{- 1.25 r}{1.5}$

Step 2.3.1.2

Move the negative in front of the fraction.

$c = 1586.\overline{6} - \frac{1.25 r}{1.5}$

Step 2.3.1.3

Factor $1.25$ out of $1.25 r$ .

$c = 1586.\overline{6} - \frac{1.25 (r)}{1.5}$

Step 2.3.1.4

Factor $1.5$ out of $1.5$ .

$c = 1586.\overline{6} - \frac{1.25 (r)}{1.5 (1)}$

Step 2.3.1.5

Separate fractions.

$c = 1586.\overline{6} - (\frac{1.25}{1.5} \cdot \frac{r}{1})$

Step 2.3.1.6

Divide $1.25$ by $1.5$ .

$c = 1586.\overline{6} - (0.8\overline{3} \frac{r}{1})$

Step 2.3.1.7

Divide $r$ by $1$ .

$c = 1586.\overline{6} - (0.8\overline{3} r)$

Step 2.3.1.8

Multiply $0.8\overline{3}$ by $- 1$ .

$c = 1586.\overline{6} - 0.8\overline{3} r$