Question

Question #f8cf7

Answer 1

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`