Question

six hundred pictures are taken at a photo shoot. twelve percent of the pictures are black and white. which equation can be used to find the number of black and white photos?

\\(\frac{600 \div 6}{12 \div 6} = \frac{100}{2}\\)

\\(\frac{12 \times 6}{100 \times 6} = \frac{72}{600}\\)

\\(\frac{600 \div 12}{600 \div 100} = \frac{50}{6}\\)

\\(\frac{600 + 12}{100 + 12} = \frac{612}{112}\\)

Explanation:

Set up the percent proportion

$$ \frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100} \implies \frac{x}{600} = \frac{12}{100} $$

Find equivalent ratios

$$ \frac{12 \times 6}{100 \times 6} = \frac{72}{600} $$

Match with the given options

$$ \frac{12 \times 6}{100 \times 6} = \frac{72}{600} $$

Answer:

• (A) \(\frac{600 \div 6}{12 \div 6} = \frac{100}{2}\)
• (B) \(\frac{12 \times 6}{100 \times 6} = \frac{72}{600}\) (Correct answer)
• (C) \(\frac{600 \div 12}{600 \div 100} = \frac{50}{6}\)
• (D) \(\frac{600 + 12}{100 + 12} = \frac{612}{112}\)