Question #f8cf7

1 Answer
Nov 14, 2017

85lbs of the $4.30 blend and 25lbs of the $2.10 blend

Explanation:

Let x be the amount of the $4.30 per pound tea
and y be the amount of the $2.10 per pound tea.

Set up a system of equations:
x+y = 110lbs
$4.30x + $2.10y = $3.80(110lbs)

Solve for a variable in either equation(I'll solve for y in the first equation since it's easier):

x+y=110lbs

y = 110lbs - x

Now plug that into the other equation and solve:

$4.30x + $2.10y = $3.80(110lbs)

$4.30x + $2.10(110lbs - x) = $3.80(110lbs)

$4.30x + $231 - $2.10x = $418

$2.20x + $231 = $418

$2.20x = $187

x=85lbs

Now plug that value back into the first equation and solve:

x+y=110lbs

85lbs + y = 110lbs

y = 25 lbs