Mathematics in Modern World, Exercises of Applied Mathematics

Download Mathematics in Modern World and more Exercises Applied Mathematics in PDF only on Docsity! Name ____________________________ Rating __________ Section _____________________ Date ____________ Activity 4 The Language of Sets Instruction: Word problems below involve concepts of sets, intersections, and unions. This is an application of your understanding of set operations to solve real-world scenarios. Use the principle of Inclusion-Exclusion. Do as indicated. Write legibly in short bond paper and show your solution. 1. A survey of 100 fourth year high school students revealed that 42 like mathematics, 62 like Filipino, 44 like History, 22 like both Math and History, 25 like both Math and Filipino, 17 like Filipino and History, and 10 like all the three subjects. How many like Math only? Filipino only? History only? How many did not like any of the three subjects? 2. A fruit stand has apples, oranges, and bananas. The set of apples contains 30 fruits, the set of oranges contains 20 fruits, and the set of bananas contains 15 fruits. If there are 10 fruits that are both apples and oranges, and 5 fruits that are both apples and bananas, 15 fruits that are both oranges and bananas, 12 fruits that are both apples, bananas and oranges, how many fruits are there in total?