Question

The coffee merchant plans to mix some fancy $6.50 per pound ground coffee called royal soil with 10 pounds of a lowly $2 per pound ground called royal peasant. How many pounds of the $6.50 per pound ground coffee should he use?

Answer 1

Answer and explanation:

Given:

Royal soil= $6.50 per pound

Royal peasant = $2 per pound of 10 pounds

Blend total pounds is x+10, price is unknown hence solved below

Using algebra

We find unknown x = number of pounds of royal soil

$6.50(x)+$2(10)=6.50x+20/x+10(x+10)

= 6.50x+20= 6.50x²+85x+200