MAC1105 7.2 Question 97

Question

A​ sparkling-water distributor wants to make up 200 gal of sparkling water to sell for $5.00 per gallon. She wishes to mix three grades of water selling for ​$10​.00, ​$1​.00, and​ $4.50 per​ gallon, respectively. She must use twice as much of the​ $4.50 water as the $1.00, water. How many gallons of each should she​ use?

She should use ________ gal of ​$10​.00, _____________ gal $1.00, and __________ gal of​ $4.50.

Answer 1

x gal of $10, y gal for $1 and 2y for $4.50.

Then x + 3y = 200 and 10x + 9y + y = 1000; x + y = 100; 2y = 100; y = 50; x = 50 2y = 100