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MathNet 2018-part-05 — 181 problems (EN–VI) Question 137

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 137

a. In a home for the elderly they celebrated the birthday of the oldest resident. They prepared 15 litres of a drink made of homemade pear juice diluted with water, so that the drink contained $20 \%$ water. Since it was still too sweet, they added another 5 litres of water. Compute the share of natural juice, in $\%$, in the resulting drink.

b. This home has 141 rooms in total. 70 rooms are single rooms, the others are double and triple rooms. If all rooms are fully occupied, there are 240 residents in the home. How many double rooms and how many triple rooms do they have?

(10 points)