A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used? First brand: ____ gallonsSecond brand: ___ gallons

Answer:First brand(45%): 90 gallonsSecond brand(70%): 60 gallonsStep-by-step explanation:"The first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used? First brand: ____ gallonsSecond brand: ___ gallons"We know that 70 is 15 away from 55, and 45 is 10 away, making this a 10: 15 ratio of 70 to 45 (because the 70 can only counteract the 45 by 10, and the 45 can only counteract the 70 by 15 unless they want to overshoot the 55% average ). This means that .4*150 is 70% and .6*150 is 45%This means there is First brand: 90 gallonsSecond brand: 60 gallons