Question

There are 4 pots for every 3 pans for every 21 glasses. There are a total of 476 dishes. How many pans are there?

Answer 1

Right now what I've done is this:
X= number of pans.
3x+4x+21x=476.
Yes, it's totally stupid. Help please??? :/

Answer 2

set up the ratio

Answer 3

4:3:21

Answer 4

4:3:21

Answer 5

now i have to wonder if i read this right

Answer 6

is it 4 pots for every 3 pans; and 3 pans for every 21 glasses? which might amount to the same thing

or is it 4 pots for every 3 pans for every 21 glasses; and 4 pots for every 21 glasses ?

Answer 7

that last bit should read

or is it 4 pots for every 3 pans; and 4 pots for every 21 glasses ?

Answer 8

It is A, I believe. The way that I wrote it in the question is just as it was in the algebra book.

Answer 9

if we stick to ratios then:

4:3:21 is a total of 28 dishes (4+3+21)

Answer 10

476/ 28 = some number that we can scale it all by

Answer 11

so; 17 it is

17(4:3:21 = 28) is 68:51:347 = 476

Answer 12

Wait. I don't quite understand what you're saying. Where does the 17 come from???

Answer 13

if all we had was 4 and 3 and 21; how many dishes would we have all together?

Answer 14

28.

Answer 15

476 divided by 28 is 17.

Answer 16

so, they tell us that its the same ratio; but alot more dishes.

28 times (what) = 476 ?

Answer 17

correct

Answer 18

i have now read this four times and i cannot make sense out of it at all

Answer 19

then our ratio is the same; its just scaled by 17

Answer 20

It's all lit up in shining colors now! Thanks so much, amistre64.

Answer 21

what are the "dishes"??

Answer 22

lol, youre welcome :)

Answer 23

It's a word problem. They use little objects like "dishes" to make it seem like a real life problem.

Answer 24

in real life, i have a bowl, a spoon, and a straw

Answer 25

they let you have a straw? i only got the spork

Answer 26

its a bendy lol

Answer 27

which would be fine if it was designed to be a bendy ... but