Activity 2. Solve. 1. In nursing home, 47 babies were given vitamin C to strengthen their immune system against viruses. 30 were given vitamin C of brand A and 41 were given vitamin C of brands B. How many were given both brands of vitamins?

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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Figure 3
Activity 2. Solve.
1. In nursing home, 47 babies were given vitamin C to strengthen their immune system against viruses. 30 were given vitamin C of
brand A and 41 were given vitamin C of brands B. How many were given both brands of vitamins?
Solution
Since A UB = A+B-(An B)
Then AnB = A + B-(AUB)
Hence, A UB = 30 +41-40 = 31
Given: A=30
B=41
AUB=40
2. The home for the aged resident doctor reported that 150 of their aged residents had been experiencing fever for the
last 3 days. He said that they have been given medication but still no sign of improvement. He also added that 100 of
them were given medicine of brand Y and 89 were given medicine both in brand Y and Z. How many of the aged
residence were given medicine of brand Z only?
3. In a school canteen, 120 students ordered juices where 85 of them ordered grape juice. How many of the students
ordered non-grape juice?
Transcribed Image Text:Figure 3 Activity 2. Solve. 1. In nursing home, 47 babies were given vitamin C to strengthen their immune system against viruses. 30 were given vitamin C of brand A and 41 were given vitamin C of brands B. How many were given both brands of vitamins? Solution Since A UB = A+B-(An B) Then AnB = A + B-(AUB) Hence, A UB = 30 +41-40 = 31 Given: A=30 B=41 AUB=40 2. The home for the aged resident doctor reported that 150 of their aged residents had been experiencing fever for the last 3 days. He said that they have been given medication but still no sign of improvement. He also added that 100 of them were given medicine of brand Y and 89 were given medicine both in brand Y and Z. How many of the aged residence were given medicine of brand Z only? 3. In a school canteen, 120 students ordered juices where 85 of them ordered grape juice. How many of the students ordered non-grape juice?
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