# 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.

1. Reiny

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 70-x in the part showing only hockey and football
insert 45-x and 50-x in the other overlaps in the same way.
Now look at the hockey circle
We already have entries of x, 70-x, and 50-x
so the part showing ONLY hockey = 195 - x - (70-x) - (50-x)
= 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.

2. Reiny

Just realized looking at the Related Questions below, that I answered this same question for you back in July of this year.

What gives ????

## Similar Questions

1. ### 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 …
2. ### English

1. He took the watch apart. 2. He disassembled the watch. 3. He broke up the watch. (Are the three the same?
3. ### 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 …
4. ### 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 …
5. ### 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 …
6. ### 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 …
7. ### 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 …
8. ### 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 …
9. ### math

Use the data to answer the question: Favorite Sport to Watch: 25% soccer 33% baseball 42% football If 210 people said football was their favorite sport to watch, how many people were surveyed?
10. ### Sets, Maths

In a survey of 500 families produces the following information 285 watch football 195 watch Cookie 115 basketball football and basketball 70 watch football and hockey and basketball 50 watch hockey and basketball if 50 donot watch …

More Similar Questions