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MathNet 2016-part-05 — 184 problems (EN–VI) Question 103

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 103

Cream makes up $7\%$ of the mass of milk, and butter is made from $61\%$ of the mass of the cream. From how much milk is $3~\mathrm{kg}$ of butter made?
(A) less than $5~\mathrm{kg}$
(B) $17~\mathrm{kg}$
(C) $54~\mathrm{kg}$
(D) $69~\mathrm{kg}$
(E) more than $70~\mathrm{kg}$