Problema Solution
Harriet Amato operates a coffee shop. One of her customers wants to but two kinds of beans: Arabian Mocha and Colombian Decaf. If she wants twice as much Mocha as Colombian Decaf, how much of each can she buy for a total of $87.50? (Prices are: Arabian Mocha....$8.50/lb and Colombian Decaf....$8.00/lb.)
Answer provided by our tutors
Let
x = lbs of Arabian Mocha, x>0
y = lbs of Colombian Decaf, y>0
She wants twice as much Mocha as Colombian Decaf:
x = 2y
The total of money she spends is $87.50:
8.50x + 8.00y = 87.50
We have the following system of equations:
x = 2y
8.50x + 8.00y = 87.50
........
........
x = 7 lbs of Arabian Mocha
y = 3.5 lbs of Colombian Decaf
Harriet can buy 7 lbs of Arabian Mocha and 3.5 lbs of Colombian Decaf.