For each 100 8th grade girls in a certain middle school, 85 play soccer, 70 love pizza, 75 have a tablet computer, and 80 play a musical instrument. What is the least possible number of these 100 girls who play soccer, love pizza, own a tablet computer, and play a musical instrument?
This is for a math contest..
To find the least possible number of girls who play soccer, love pizza, own a tablet computer, and play a musical instrument, we need to determine the maximum number of girls who don't have all four attributes.
Let's consider each attribute separately:
1. Playing soccer: There are 85 girls who play soccer. So, there could be a maximum of 100 - 85 = 15 girls who don't play soccer.
2. Loving pizza: There are 70 girls who love pizza. So, there could be a maximum of 100 - 70 = 30 girls who don't love pizza.
3. Owning a tablet computer: There are 75 girls who own a tablet computer. So, there could be a maximum of 100 - 75 = 25 girls who don't own a tablet computer.
4. Playing a musical instrument: There are 80 girls who play a musical instrument. So, there could be a maximum of 100 - 80 = 20 girls who don't play a musical instrument.
To find the least possible number of girls who have all four attributes, we need to consider the maximum possible number of girls who don't have at least one of the attributes.
So, the least possible number of girls who play soccer, love pizza, own a tablet computer, and play a musical instrument is the minimum of the maximum possible number of girls without each attribute:
Min(15, 30, 25, 20) = 15.
Therefore, the least possible number of these 100 girls who play soccer, love pizza, own a tablet computer, and play a musical instrument is 15.