Answer to Question #98067 in Algebra for Shifa

Question

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

Answer 1

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: $96$