Question

any help again? just asking for double check. :) Two kinds of coffee are blended to produce a mixture of 25 kilograms worth $52 a kilogram. The costs of the two kinds of coffee are $40 and $56 a kilogram. Find how many kilograms of each kind are blended. I also need the solution. THANKS! :)

Answer 1

the equation you want to solve if
[40x+56(25-x)=25\times 52\]

Answer 2

lets try that again.
\[40x+56(25-x)=25\times 52\]

Answer 3

so x will be the kilogram of each kind?

Answer 4

reason is if you put x = amount of $40 beans then it cost 40x . if you use x of one kind and the total is 25 then you use 25-x of the other kind that cost 56, for total of 56(25-x)
and finally you end up with 25 kilos at 52 for a total of 25*52

Answer 5

no the way i wrote it x will be the kilos of $40 beans

Answer 6

and 25-x will be the kilos of $56 beans

Answer 7

okay. got that. then?

Answer 8

we solve
\[40x+56(25-x)=52\times 25\]
\[40x+1400-56x-1300\]
\[-16x=1300-1400\]
\[-16x=-100\]
\[x=\frac{100}{16}\]
\[x=6\tfrac{1}{4}\]

Answer 9

you should check my algebra because it is late. i may have made a mistake but i do not see it

Answer 10

okay. :)

Answer 11

so i get
\[6\tfrac{1}{4}\] of the $40 beans and
\[25-6\tfrac{1}{4}=18\tfrac{3}{4}\] of the $56 beans

Answer 12

thanks for the help! :)