Question

PLEASE HELPPPPP MEEEEEEEEE !!!

Cathy's salary is 3/7 of Nora's salary and is 5/4 of Teresa's salary. Nora's salary is what fraction of Teresa's salary?

Answer 1

can you help explain why i wanna know HOT to do the problem more than just gettin an answer =/

Answer 2

HOW*

Answer 3

It's like this:
"X" has 1/2 of "N" 's salary.

What would X's salary be if N was 10 ?

Answer 4

5

Answer 5

Alright, now what if we didn't know N's salary.

X has 1/2 of N,
N has 1/2 of W's salary.

W's salary is 40

What's N's salary? Then find X's after you find N's.

Answer 6

20 and X is 10

Answer 7

Alright. So you understand how to get that.

It's essentially the same concept.

You got 20 and 10 by first multiplying W by 1/2 , then you multiplied 20 by 1/2 and got 10 right?

Now what if you wanted to skip N and go straight to X's value?

Answer 8

kinda lost now tbh

Answer 9

It would be the same order, X = W * 1/2 * 1/2
So, for your problem it would be: Cathy = Teresa * 5/4 * 3/7

Answer 10

am I dividing?

Answer 11

wait why would you multiply?

Answer 12

It's multiplication, but with fractions.

W = 40
N = W * 1/2
X = N * 1/2
And you get 10

Answer 13

i seriously dont get why i have to multiply.....

Answer 14

What's 1/2 * 1/2 ?

Answer 15

1

Answer 16

No.

Answer 17

.0025

Answer 18

Not exactly..

Answer 19

.25

Answer 20

Yes!
So 1/2 * 1/2 = .25 OR 1/4

And what does 40 * 1/4 equal?

Answer 21

10

Answer 22

Yes!
And that's why you multiply to get your answer.

We multiplied the fractions 1/2 * 1/2 because

N = 1/2 * W
X = 1/2 * N

If you think about it, we MULTIPLIED W TWICE by 1/2.

It looks confusing because 1/2 * W appears once... But if you think about it N = 1/2 * W and X = 1/2 * N ... But actually if you replace N with( 1/2 * W ) what do you get?

Answer 23

Replace N in X to what it's equal too.

Answer 24

... wow this is seriously confusing

Answer 25

Sorry, I'll try a different approach.

Answer 26

Cathy's salary is 3/7 of Nora's salary

Cathy = 3/7 * Nora

Nora is 5/4 of Teresa's salary

Nora = 5/4 * Teresa

Now what would Cathy's salary be if Teresa's salary was 20$?

Answer 27

Refer to the Mathematica attachment.

Answer 28

k thats even more confusing

Answer 29

why is it 7/3 x 5/4

Answer 30

thats what the answer says it is

Answer 31

cuz im dividing no?

Answer 32

Let c, n and t be Cathy's, Nora's and Teresa's salary respectively.
Cathy's salary is 3/7 of Nora's salary.
c = 3/7 n
In a similar fashion
c = 5/4 t
If c = a and c = b then "a" must equal "b"
3/7 n = 5/4 t

Can you go ahead and solve the above for "n" ?

Answer 33

Multiplying fractions is like dividing ...

Except you multiply by the numerator and divide by the denominator.

But when you have to fractions it's easier to find a common denominator by cross multiplication.

Then with *that* fraction, you can say that's Noras salary as a fraction of Teresa's

Answer 34

I guess @yomamabf bailed out.

Answer 35

35/12 x t

Answer 36

no im still here im just tryna figure this out sorry im really bad at math

Answer 37

Example 1
\[1/2 * 10 = 10/2\]

Example two:
\[3/5 * 10 = 30/5 \]

See, there is some division, but you have to multiply by the top and divide by the bottom.

Answer 38

What you are doing though is multiplying fractions.

https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplying-fractions

Answer 39

wait cant it be 5/4n = 3/7

Answer 40

3/7 n = 5/4 t
Divide each side by 3/7
(3/7)/(3/7) n = (5/4)/(3/7) t
n = (5/4)/(3/7) t
n = (5/4)*(7/3) t
n = (5/4)*(7/3) t
n = 35/12 t

Answer 41

Nora = 5/4 * Teresa
Cathy = 3/7 * 5/4 * Teresa

You don't know what Teresa is.

Combine what you can -- This is also called "Like Terms"
Cathy = 3/ 7 * 5 / 4
- You got rid of Teresa because it just wants to know the fractional part.

Just take the khan academy link on multiplying fractions and you'll have our answer.

Answer 42

okay im spending way too much time on this okay thanks guys!

Answer 43

You're welcome. Sorry I couldn't explain better. Hopefully in the future I can give more thorough explanations.

Answer 44

thanks anyways you're awesome i'm gonna ask another question