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UKMT Junior Kangaroo, 2019

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

There are two ponds at the bottom of Gabrielle's garden, each containing frogs and toads. In one pond the ratio of frogs to toads is $3:4$ . In the other pond the ratio of frogs to toads is $5:6$ . Suppose there are 36 frogs in total. What then would be the largest possible total number of toads in the ponds?

(A) $48$ (B) $46$ (C) $44$ (D) $42$ (E) $40$

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