SOLUTION: Hi, I needed some help for this, so if you could show me step by step with the answer, it'd be great.Thanks. One grade of tea costing $3.20 per pound is mixed with another grade c

Question 707161: Hi, I needed some help for this, so if you could show me step by step with the answer, it'd be great.Thanks.
One grade of tea costing $3.20 per pound is mixed with another grade costing $2 per pound to make 20 lbs of a blend that will sell for $2.72 per pound. How much of the $3.20 is needed?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
OK
Lex x=amount of $3.20 tea that is needed
then 20-x=amount of $2.00 tea that is needed
Now we know that the total cost of the tea before it is mixed together($3.20x+$2.00(20-x)) has to equal the total cost after it is mixed together($2.72*20), soooooo:
$3.20x+$2.00(20-x)=$2.72*20 simplify
$3.20x+$40.00-$2.00x=$54.40 subtract $40.00 from each side
$1.20x=$14.40
x=12 pounds---amount of $3.20 tea needed
20-x=20-12=8 pounds ----amount of $2.00 tea needed
Hope this helps---ptaylor
RELATED QUESTIONS
Hi, I tried to solve this question but I think I don't have enough information in order... (answered by solver91311)

Hello. I do not know if this fits into the right category but I tried my best. Ok so I... (answered by algebrapro18)

I got this summer packet and I can't seem to get this answer. Can you please help me get (answered by rapaljer)

hi! my name is josh and i need some help solving some of these radicals. i cant seem to... (answered by mananth)

Hi everyone, Im looking for some help and guidance with the following graphing and... (answered by solver91311)

Hi there! I need some step by step help with law of sines solving two triangles Here's (answered by stanbon,scott8148)

I really need help with this question this is a two part question but I feel if you show... (answered by Boreal)

Hello, good evening, i have one question, how do i make x the subject of y=3x+2? could... (answered by Earlsdon)

Hi everyone, Im looking for some help and guidance with the following graphing and... (answered by rfer)