Answer to Question #98067 in Algebra for Shifa

Question #98067
The ratio of lights and fans in a hall is 3:5 if there are 24 more lights than fans find the total number of lights and fans
1
Expert's answer
2019-11-05T12:07:13-0500

Using given proportion, lets denote the number of lights as "5x" and number of fans as "3x". There are 24 more lights than fans, so the difference between lights and fans

"5x - 3x = 24";

"2x = 24 \\rightarrow x = 12";

Number of lights: "5x = 5 \\times 12 = 60";

Number of fans: "3x = 3 \\times 12 = 36";

Total number of lights and fans: "60 + 36 = 96."

Answer: "96"


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