how do i do this math problem?

Question

OK this is a question in my review pkt for Geometry please help!
In a high school of 1300 students, 500 students take art, 650 students take music, and 325 students take both music and art. To the nearest tenth, what percent of the total number of students take neither art nor music?

OK i think i might have figured it out by using the p over b= r over 100. So i'll see what u think.
650+500=1150 which is the part.
1300 is the whole.
1150=x
1300 100
cross multiply
1300x=115000
divide by 1300
x=88.5 kids who take art
subtract 88.5% from 100=
11.5% kids who don't take either

Answer 1

1300 -500-650+325=475

Answer 2

OK this is a question in my review pkt for Geometry please help!
In a high school of 1300 students, 500 students take art, 650 students take music, and 325 students take both music and art. To the nearest tenth, what percent of the total number of students take neither art nor music?

Total in school is 1300… Problem says you want a percent of the total.

This part of the problem, the logic, is what this review question is designed to get you to use.
500 take art. 650 take music. That is 1150 students.
325 take both. Since 1150 + 325 = 1425 and is more than the total student population, the 325 have to be among the 500 that take art and the 650 that take music. So we don’t care about them. We are only interested in those who take at least one of them. That’s 1150.

The selection logic is as follows. It is apparently different from that of some of the others.

The question, as you state it, asks, "what percent of the total number of students take neither art nor music?" If you take neither art, nor music, you certainly don't take art. If you take neither art, nor music, you certainly don't take music. And if you take neither, you certainly can't take both. Because the total population of students, 1300, is less than the total of those that are said to take music, those who are said to take art, and those that are said to take both, the number who take both must come from among those that are listed as taking music, and from among those who take art.
M = {students taking music}
A = {students taking art}
M (Intersect) A = {students taking both music and art}
The question does not ask about the percentage who do not take both. It asks about those who do not take at least one of them. If I'm misreading the problem, apologies.


The question is about those who take neither. That would be total population less those that take one or the other; 1300 – 1150 = 150 who take neither art nor music.

The percentage is 150/1300. You can do the arithmetic. Remember, .2575 = 25.75%.

You'll find that Geometry relies heavily on logic, figuring out what information is necessary, and what is not. Sometimes you have to figure out something that is necessary but not given.

Answer 3

Only art is taken by =500-325
=175
Only music is taken by =650-325
=325
one or both is taken by = 175+325+325
=825
Neither art nor music is taken by= 1300-825
=475
%=475/1300*100%
=36.54%

Answer 4

I think it goes like this....

Art + Music - Both = 500 + 650 - 325 = 825

825/1300 * 100 = 63% are in either one.

So 100 - 63 = 37% which rounds up to 40% aren't in either one.


I thinks this is it. Good luck!

Answer 5

First, calculate how many students take one or the other (or both): 500 + 650 - 325 = 825.

That means, 1300 - 825 = 475 take neither.

Answer 6

1300 - 500 - 650 = 150
150/1300 = 11.5%

the 325 is there just to throw u off

Answer 7

1 - P(A or B) = P( neither A nor B)
P(A or B) = P(A) + P(B) - P(A and B)
P(A) = 500/1300
P(B) = 650/1300
P(A and B) = 325/1300

Thus answer is: 1 - 5/13 - 1/2 + 325/1300 = 0.365 or about 36.5% 0.365(1300) = 475!

Answer 8

500+650-325=825
825/1300=0.634615385=63.4%

63.4%(To 1 d.p.)Didn't take art or music

Answer 9

This si a venn diagram question im pretty sure.

Answer 10

11.538%