a wine company needs to blend California wine with a 5 alcoh

a wine company needs to blend California wine with a 5% alcohol content and a French wine with a 9% alcohol content to obtain 200 gallons of wine with a 7% alcohol content. How many gallons of each kind of wine must be used?

Solution

Dear Student Thank you for using Chegg !! Let the quantity of Calofornia wine mixed to obtain 7% Alcohol Wine be x gallons Total Quantity of alcohol in california wine = 0.05x gallons Quatity of French wine = 200-x gallons Alcohol Content in french wine = 0.09*(200-x) gallons Total Quantity of alcohol when french and californian wine mixed = 0.05x + 18 - 0.09x gallons Given quantity of alcohol in 200 gallons (7%) = 0.07*200 gallons = 14 gallons => 18-0.04x = 14 0.04x = 4 x = 100 gallons 100 gallons of each type of wine must be used _Solution