ExplanationFirst, translate the problem into two equations, writing “Anke after she gave Conrad 5 candies” as (A – 5) and “Conrad after receiving 5 more candies” as (C + 5):

\(A = C - 5\)

\(4(A - 5) = C + 5\)

Since A = C – 5, plug C – 5 in for A in the second equation:

\(4(C - 5 - 5) = C + 5\)

\(4(C - 10) = C + 5\)

\(4C - 40 = C + 5\)

\(4C = C + 45\)

\(3C = 45\)

\(C = 15\)

If C = 15, then, since Anke has 5 fewer candies, she has A = 10.

Check the answer. If Anke starts with 10 candies, after giving 5 to Conrad she has 5. If Conrad starts with 15 candies, he has 20 after receiving 5 from Anke. It is true that 20 is 4 times 5.

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Sandy

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