A special blend of tea costs $15.70 per pound to make. It is made by combining herbs that
cost $14.50 per pound with black tea that costs $16.90 per pound. To make a batch of this
blended tea, how many pounds of black tea should be added to 14 pounds of herbs?
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
Let
x ------> pounds of herbs
y -----> pounds of black tea
14.50x+16.90y=15.70(x+y)
we have
x=14 pounds
substitute
14.50(14)+16.90y=15.70(14+y)
solve for y
203+16.90y=219.8+15.70y
16.90y-15.70y=219.8-203
1.2y=16.8
y=14
therefore
the answer is
14 pounds of black tea