A spirit and water solution is sold in a market.
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 60 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?
Answer/Solution
60
Steps/Work
Yes, ensure that you understand the relation thoroughly!
Cost per liter = K * Fraction of Spirit
60 cents is the cost of 2 liters of solution (1 part water, 1 part spirit). So cost per liter is 30 cents. Fraction of spirit is 1/2.
30 = K * (1/2)
K = 60
Cost per liter = 60 * (1/3) (1 part spirit, 2 parts water)
Cost for 3 liters = 60 * (1/3) * 3 = 50 cents
E. 60 cents
Cost per liter = K * Fraction of Spirit
60 cents is the cost of 2 liters of solution (1 part water, 1 part spirit). So cost per liter is 30 cents. Fraction of spirit is 1/2.
30 = K * (1/2)
K = 60
Cost per liter = 60 * (1/3) (1 part spirit, 2 parts water)
Cost for 3 liters = 60 * (1/3) * 3 = 50 cents
E. 60 cents