Question

Mark gave 21 tadpoles to his 3 friends. Mark gave twice as many tadpoles to David as he did Chris.George received twice as many tadpoles as David. How many tadpoles did each friend receive?

Answer 1

Number of tadpoles Chris has = 3

Number of tadpoles David has = 6

Number of tadpoles George has = 12

Explanation:

Given: Total number of tadpoles divided among 3 friends = 21

Number of tadpoles Mark gave to Chris = A

Number of tadpoles Mark gave to David = B = 2A

Number of tadpoles Mark gave to George = C = 2B = 2(2A) = 4A

∴ Total number of tadpoles = A + B + C

⇒ 21 = A + 2A + 4A

⇒ 21 = 7A

⇒ A = 21 ÷ 7 = 3

∴ Number of tadpoles Chris has = A = 3

Number of tadpoles David has = B = 2A = 2(3) = 6

Number of tadpoles George has = C = 2B = 2(2A) = 4A = 4(3) = 12