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The ratio of ducks and frogs in a pond is 35 : 43 respectively. The average number of ducks and frogs in the pond is 234. How many ducks are there in the pond?

The ratio of ducks and frogs in a pond is 35 : 43 respectively. The average number of ducks and frogs in the pond is 234. How many ducks are there in the pond? Correct Answer 210

Ratio of ducks and frogs in a pond = 35 ∶ 43

Let, number of ducks = 35x and no. of frogs = 43x

According to problem,

⇒ (35x + 43x)/2 = 234

⇒ 78x = 234 × 2

⇒ x = 6

∴ The number of ducks in the pond = 35x = 35 × 6 = 210

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