Solve 370c-90leq1%+3

$$370c-90 \leq 1 \% +3$$

Solve for c

$$c\leq \frac{9301}{37000}$$

Solution Steps

Convert 3 to fraction \frac{300}{100}.

$$370c-90\leq \frac{1}{100}+\frac{300}{100}$$

Since \frac{1}{100} and \frac{300}{100} have the same denominator, add them by adding their numerators.

$$370c-90\leq \frac{1+300}{100}$$

Add 1 and 300 to get 301.

$$370c-90\leq \frac{301}{100}$$

Add 90 to both sides.

$$370c\leq \frac{301}{100}+90$$

Convert 90 to fraction \frac{9000}{100}.

$$370c\leq \frac{301}{100}+\frac{9000}{100}$$

Since \frac{301}{100} and \frac{9000}{100} have the same denominator, add them by adding their numerators.

$$370c\leq \frac{301+9000}{100}$$

Add 301 and 9000 to get 9301.

$$370c\leq \frac{9301}{100}$$

Divide both sides by 370. Since 370 is positive, the inequality direction remains the same.

$$c\leq \frac{\frac{9301}{100}}{370}$$

Express \frac{\frac{9301}{100}}{370} as a single fraction.

$$c\leq \frac{9301}{100\times 370}$$

Multiply 100 and 370 to get 37000.

$$c\leq \frac{9301}{37000}$$