Answer:
The quantity of 40% hydrochloric acid mixed with 12 ounces of a 15% hydrochloric acid solutions is 18 ounces
Step-by-step explanation:
Given as :
Let The quantity of 40% hydrochloric acid mixed with 12 ounces of a 15%
hydrochloric acid = x ounces
So, Total quantity becomes = ( x + 12 ) ounces
Now, According to question
x × 40% + 12 × 15% = (x + 12) × 30%
Or, x × [tex]\dfrac{40}{100}[/tex] + 12 × [tex]\dfrac{15}{100}[/tex] = (x + 12) × [tex]\dfrac{30}{100}[/tex]
Or, 40 x + 12 × 15 = (x + 12) × 30
Or, 40 x + 180 = 30 x + 360
Or, 40 x - 30 x = 360 - 180
Or, 10 x = 180
∴ x = [tex]\dfrac{180}{10}[/tex]
i.e x = 18 ounces
So, The quantity of 40% hydrochloric acid mixed with 12 ounces of a 15% hydrochloric acid solutions = x = 18 ounces
Hence, The quantity of 40% hydrochloric acid mixed with 12 ounces of a 15% hydrochloric acid solutions is 18 ounces . Answer