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The class has a lizard and a frog. The lizard eats the same number of insects each day. The frog also eats the same number of insects each day. On day one, the lizard eats fourteen insects and the frog eats ten insects. On day five, the lizard has eaten five times the number of insects he ate on day one. How many insects has the lizard eaten on day five? On what day will the frog have eaten the same number of insects the lizard ate on day five? Show all your mathematical thinking.