Question

Chris is diluting 6 gallons of pure apple juice concentrate to a 24% apple juice concentration. How much water should he add? please show all your work.

Answer 1

A+B=C
6+B=0.24(6)+0.76(B)

Answer 2

i dunno if that's right, I didn't draw a picture which always helps me

Answer 3

please can you make a table ?

Answer 4

wait k let's just work backwards.

Answer 5

how did you get 0.76

Answer 6

ok

Answer 7

total solution is C let's say okay?
now since we know that all of the juice mix is going in to the juice
we can say that (0.24*C) is 6.
tell me if that makes sense to you

Answer 8

yes

Answer 9

that makes sense? okay then by that you can figure out the total value for C

Answer 10

or C = 6/.24=25

Answer 11

can you do the whole problem .step by step .

Answer 12

Please

Answer 13

well for material balance problems i usually draw a diagram which helps with everything, but it's not exactly easy on here

Answer 14

but here your two equations can be this.

Answer 15

A=(0.24)C
B=(0.76)C
A+B=C

Answer 16

3* equations

Answer 17

now if you can interpret how I say this next part in words it may help you to understand the problem.

Answer 18

24 percent of the final solution or mixture or whatever you want to call it, will be equal to the total 6 galleons worth of juice concentrate. Originally the conentrate is 100 percent juice concentrate, but by adding water the solution becomes 24 percent juice concentrate
so that is all for just the first equation

Answer 19

basically the 6 galleons of juice concentrate is the 24% value of the total mixture

Answer 20

so since C = 25
then the amount of water will be 76 percent of the final solution since that's what's remaining. or B = (0.76)*25

Answer 21

or 19 galleons of water.

Answer 22

i have a question.how can i get 0.76

Answer 23

i mean i didn't get that part

Answer 24

ohhhhhhhh, well it's as simple as this.
since 24 percent is juice concentrate, and juice is ONLY made out of juice cocentrate and water, then the water value would be 100%-24% = 76 percent water.

Answer 25

Thanks .i got it now

Answer 26

Thank you so much for helping me !

Answer 27

You are welcome glad I could help!