A table showing gallons of solution, acid concentration, and amount of acid. the first row shows 10 percent acid, and has the entries, 0.5, 0.10, and 0.10 times 0.5. the second row shows 35 percent, and has the entries, g, 0.35, and 0.35 g. the third row shows. mixture, and has the entries, g plus 0.5, 0.15, and 0.15 left parenthesis g plus 0.5 right parenthesis. eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. which equation can you use to determine how many gallons of the 35% acid solution eli should add?

From the given table, since Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution, then we can say that;

(0.10)(0.5) + 0.35g = 0.15(g + 0.5)

where g is number of gallons

Now, for us to determine how many gallons of the 35% acid solution eli should add, we will solve the word problem earlier to get;

(0.10)(0.5) + 0.35g = 0.15(g + 0.5)

⇒ 0.05 + 0.35g = 0.15g + 0.075

⇒ 0.35g - 0.15g = 0.075 - 0.005

⇒ 0.2g = 0.025

g = 0.025/0.2

g = 0.125 g

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