Question

Mixture and Uniform Motion Problem (Help Please)

A clothing manufacturer purchased 65 yd of cotton and 90 yd of wool for a total cost of $2,000. Another purchase, at the same prices, included 90 yd of cotton and 25 yd of wool for a total cost of $1,275. Find the cost per yard of the cotton and of the wool.

Answer 1

do you have your equations ready?

Answer 2

No I don't understand how to do this problem.

Answer 3

say one yard of cotton is c dollar, one yard of wool is w dollar, what are the components of the 2000 dollar? answer is a combination of c and w

Answer 4

cotton(c dollar)+ wool(w dollar)=2000

Answer 5

one strike! did you forgot something?

Answer 6

cotton(c dollar)+ wool(w dollar)=1275?

Answer 7

two strikes

Answer 8

you forgot the price

Answer 9

nope, the area

Answer 10

I'm so confused

Answer 11

so 65c+90w=2000, whats the other one

Answer 12

90c+25w=1275

Answer 13

great, now we can say 324c+90w=4590, understood

Answer 14

yes

Answer 15

so 259c=2590,c=10

Answer 16

Did u divide?

Answer 17

Where did u get 259?

Answer 18

@caozeyuan

Answer 19

4590-2000=2590

Answer 20

Ok where do I go from here?

Answer 21

throw c back in to get w out

Answer 22

so plug it in

Answer 23

Wool=15 @caozeyuan

Answer 24

great you did it( insert applause here)

Answer 25

Thanks. So the cost per wool is $15?

Answer 26

@caozeyuan

Answer 27

And $10 is the cost per yard for cotton?

Answer 28

yes

Answer 29

that's it?