Question

A special blend of tea costs $15.70 per pound to make. It is made by combining herbs thatcost $14.50 per pound with black tea that costs $16.90 per pound. To make a batch of thisblended 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.

Answer 1

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