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Points Q, R, and S are on a line segment so that R is between Q and S. If QR = 4RS, what percent of QS is QR?

There are 28 students in a math class and 23 students in a chemistry class. If eight of these students take both math and chemistry, what is the ratio of the number of students taking only chemistry to taking only math?

2007-08-05 15:24:23 · 4 answers · asked by ? 2 in Science & Mathematics Mathematics

4 answers

80% and 3/4

2007-08-08 10:32:04 · answer #1 · answered by Anonymous · 0 0

If QR = 4RS, QR is 4/5 of QS and RS is 1/5 of RS. So QR is 80% of QS.

20 students are taking only math. 15 students are taking only chemistry. The ratio is 15:20 = 3:4.

2007-08-05 22:28:18 · answer #2 · answered by DavidK93 7 · 0 0

28-8=20

23-8=15

The ratio would be 20:15 There are also two other ways of writing ratios and they are 20/15 and 20 to 15. They all mean the same thing.

I don't know the first one though.

2007-08-05 22:29:54 · answer #3 · answered by ? 4 · 0 0

qr=4rs
qr+rs=qs change this to
qr=qs-rs now substitute into first equ.

qs-rs=4rs
qs=5rs
substitute into 2nd equ to get
qr=5rs-rs
qr=4rs

set qr over qs to get
(4rs)/((5rs)
cancel the "rs" to get
4/5 which equals 80%

2007-08-05 22:36:35 · answer #4 · answered by kelsey 7 · 0 0

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