A shelf contains only black, purple and orange pots of paint. The ratio of black pots of paint to purple pots of paint is 14:9. The ratio of purple pots of paint to orange pots of paint is 3:9. Calculate the percentage of pots of paint that are orange.___%

Question

A shelf contains only black, purple and orange pots of paint. The ratio of black pots of paint to purple pots of paint is  14:9. The ratio of purple pots of paint to orange pots of paint is  3:9. Calculate the percentage of pots of paint that are orange.___%

Bytelearn · Accepted Answer

Convert Ratios: Convert the given ratios into a single ratio involving all three colors. The ratio of black to purple is 14:9, and the ratio of purple to orange is 3:9. To combine these, multiply the parts of the first ratio by the purple part of the second ratio to keep the purple consistent. Calculation: (14:9) * (3/3) = 14:9 and (3:9) * (9/3) = 9:27. Combined ratio: 14:9:27.Calculate Total Parts: Calculate the total number of parts in the combined ratio. Calculation: 14 (black) + 9 (purple) + 27 (orange) = 50 parts total.Determine Orange Percentage: Determine the percentage of orange pots. Calculation: (27 orange parts / 50 total parts) * 100 = 54%.

A shelf contains only black, purple and orange pots of paint. The ratio of black pots of paint to purple pots of paint is $14: 9$ . The ratio of purple pots of paint to orange pots of paint is $3: 9$ . $\newline$ Calculate the percentage of pots of paint that are orange. $\newline$ ________ $\%$

Full solution

More problems from Convert between percents, fractions, and decimals: word problems

Related topics