SOLUTION: Oolong tea sells for $19 per pound. How many pounds of Oolong should be mixed with regular tea selling at $4 per pound to produce 50lb of tea selling for $7 per pound?

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Question 126163This question is from textbook
: Oolong tea sells for $19 per pound. How many pounds of Oolong should be mixed with regular tea selling at $4 per pound to produce 50lb of tea selling for $7 per pound?This question is from textbook

Answer by josmiceli(6786) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = pounds of oolong tea
Let y = pounds of regular tea
19x+%2B+4y+=+50%2A7
x+%2B+y+=+50
y+=+50+-+x
19x+%2B+4%2850+-+x%29+=+350
19x+%2B+200+-+4x+=+350
15x+=+150
x+=+10
y+=+50+-+x
y+=+40
10 pounds of oolong tea should be mixed
with 40 pounds of regular tea
check answer
19x+%2B+4y+=+50%2A7
19%2A10+%2B+4%2A40+=+350
190+%2B+160+=+350
350+=+350
OK