Question

How do you solve mixture problems without using a table?
@agent0smith

Answer 1

What's an example?

Answer 2

?

Answer 3

How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?
This is a example of a mixture problem.

Answer 4

write an equation, x is the #liters of 70%, y is the #liters of 40%

0.7x + 0.4(50) = 0.5(50+x)

Answer 5

Thank you.

Answer 6

how do you solve that?

Answer 7

Try it first.

Answer 8

I did it but I got a negative.

Answer 9

Show your work.

Answer 10

0.7x+0.4(50)=o.5(50+x)
7x+4(500)=5(500+x)
7x+2000=2500+5x
-5x-2500
2x+-500
x=-250%

Answer 11

0.7x+0.4(50)=o.5(50+x)
7x+4(500)=5(500+x)

explain what happened here. It seems like you wanted to multiply by 10, but you only multiplied SOME terms by 10. You don't need to do that anyway.

Answer 12

I multiplied all by 10.

Answer 13

Oh wait I forgot to multiply x by 10.

Answer 14

You don't need to multiply by 10.

Answer 15

how do you do it without multiplying by 10? And stop being grumpy please.

Answer 16

This is not being grumpy lol, you just do it without multiplying by 10.

0.7x + 0.4(50) = 0.5(50+x)
distribute...
0.7x + 20 = 25 + 0.5x

try from now

Answer 17

If you're not smiling then you're grumpy.

Answer 18

lol okay. If you can deal with simple decimals like those there's no need to multiply by 10.

Answer 19

If I can't deal with a simple decimal, how am I suppose to deal with two decimals.

Answer 20

Why can't you deal with simple decimals like 0.7? You seem fine with algebra

Answer 21

I'm not a smart girl.

Answer 22

0.7x + 20 = 25 + 0.5x
get all the x's on one side by subtracting 0.5x
0.7x - 0.5x + 20 = 25
subtract 20 on both sides
0.7x - 0.5x = 5

0.7x - 0.5x is 0.2x, so

0.2x = 5

Answer 23

x=2.5

Answer 24

0.2x = 5
divide both sides by 0.2
x = 105

Answer 25

how come it is 105?