sets, maths
posted by deeksha .
A survey of 500 television viewers produced the following information,285 watch football,195 watch hockey,115 watch basketball,45 watch football and
basketball,70 watch football and hockey,50 watch hockey and basketball and 50 do not watch any of the three games.
1)How many watch all the three games?
2)How many watch exactly one of the three games?
reply fast! tmr is my maths test.

I assume you did this with Venn diagrams
We don't know how many watch all three, label that x
look at the intersection of the hockey and Football circles, it says 70 watch both
but we already have x accounted for, so place 70x in the part showing only hockey and football
insert 45x and 50x in the other overlaps in the same way.
Now look at the hockey circle
We already have entries of x, 70x, and 50x
so the part showing ONLY hockey = 195  x  (70x)  (50x)
= 75+x
repeat for the other two circles
now add them all up and set equal to 500
solve for x (it better be a whole positive number)
now you can fill in all the values, and all mysteries will be revealed. 
Just realized looking at the Related Questions below, that I answered this same question for you back in July of this year.
What gives ????
Respond to this Question
Similar Questions

English
1. I want to make an educational program. I will name it "Let's Learn English." With the help of two native speakers, the Japanese teacher can make a good textbook. Viewers can learn Japanese effectively on TV. (Would you like to check … 
English
1. He took the watch apart. 2. He disassembled the watch. 3. He broke up the watch. (Are the three the same? 
honors math 7th grade
its a venn diagram three circles. Here is the question. A study was made of 200 students to determine what tv shows they watch. 22 students hated all star trek shows. 73 students watch only the next generation(TNG) 136 students watch … 
Math Data management
A survey of 1000 television viewers conducted by a local television station produced the following data: •40% watch the news at 12:00 •60% watch the news at 18:00 •50% watch the news at 23:00 •25% watch the news at 12:00 and … 
statistics
From a random sample of 500 males interviewed, 125 indicated that they watch professional football on Monday night television. Does this evidence indicate that more than 20% of the male TV viewers watch professional football on Monday … 
Data Management Grade 12
A survey of 1000 television viewers conducted by a local television station produced the following data: •40% watch the news at 12:00 •60% watch the news at 18:00 •50% watch the news at 23:00 •25% watch the news at 12:00 and … 
probability self study
each of three identical jewelry boxes has two drawers. in each drawer of the first box there is a gold watch. in each drawer of the second box there is a silver watch. in one drawer of the third box there is a gold watch while in the … 
math
A survey of 500 television viewers produced the following information,285 watch football,195 watch hockey,115 watch basketball,45 watch football and basketball,70 watch football and hockey,50 watch hockey and basketball and 50 do not … 
Math
Consider the propositions p: "You like hockey.", q: "You like the cold.", r: "You play hockey.", and s: "You watch hockey." Write the following propositions using p,q,r and s and logical connectives. (a) You watch hockey but you do … 
English
1. Today is my birthday. One of my family members knew that. I have a sister. She gave me a watch for my birthday. (Is this passage grammatical?