Monday

April 21, 2014

April 21, 2014

Posted by **sagar** on Thursday, June 7, 2012 at 4:07am.

- maths -
**Steve**, Thursday, June 7, 2012 at 12:05pmI think you must mean a+b kg, since you're taking some of each.

value of x kg of a is ax

value of y kg of b is by

value of mixture is thus ax+by

to sell at c paise/kg,

ax+by = (x+y)*c

now, we only have one equation, so it's hard to pin down both x and y. However, we can let x=1 without loss of generality, because we can then figure y as a multiple of x.

So, letting x=1,

a+by = (y+1)c

a+by-cy = c

y(b-c) = c-a

y = (c-a)/(b-c)

This will be positive, since c is between a and b.

So, if a=5 and b=10, and c=7, then we have x=1, y=2/3

check: 1*5 + (2/3)*10 = 35/3 = (1 + 2/3)*7

So, as long as y = 2x/3, the equation still holds.

- maths - correction -
**Steve**, Thursday, June 7, 2012 at 12:23pmHmmm. I see I was too general. We need x=a and y=b

a^2 + b^2 = (a+b)c

so, if we let a=1, then

1+b^2 = (1+b)c

1+b^2 = c + bc

b^2 - cb + (1-c) = 0

b = 1/2 (c+√(c^2+4c-4))

If we have a=a, instead of a=1, then

b = a/2 (c+√(c^2+4c-4))

check: if we have a=1 and b=1+√2 = 2.8, then we can sell a+b = 3.8kg at $2.

1*1 + (1+√2)(1+√2) = 4+2√2

(1 + 1+2√2)(2) = 4+2√2

You cannot in general pick any random values for a and b and expect to make it fit any given c. You can pick a and b and figure c, or you can pick a and c and calculate b.

**Related Questions**

maths - 1. a first train travelling at x km an hour takes t hour less to travel ...

Maths - A coffee urn holds 12 litres when full. Harry fills coffee cups from the...

maths - A coffee urn holds 12 litres when full. Harry fills coffee cups from the...

English - Based on what you know about him so far, describe Jim. What kind of a ...

geometry - A conical scoop is used to remove coffee from the can an place it ...

math 5th grade - One morning, 8/9 of the customers at the diner ordered coffee. ...

math 5th grade - One morning, 8/9 of the customers at the diner ordered coffee. ...

Algebra - Hot Java Coffee Company adverties their decaffeinated coffee as 97% ...

Chemistry - At a local convenience store, you purchase a cup of coffee, but, at ...

maths - A coffee manufacture wants a new blend of coffee that sell for $3.90 per...