How many gallons of a 50​% antifreeze solution must be mixed with 60 gallons of 15​% antifreeze to get a mixture that is 40​% ​antifreeze? Use the​ six-step method.

Answer 1

50x + 15(60) = 40(x+60)

50x + 900 = 40x + 2400

10x = 2400-900 = 1500

x = 1500/10 = 150 gallons of 50% mixed with 60 gallons of 15% to get 210 gallons of 40%

50 is within 10 to 40

15 is within 25 of 40

that's 2.5 times further away

you need 2.5 times as much 50% as of 15%

150 is 2.5 times 60