Alcohol mixture 3

A mixture contains alcohol and water in the ratio 4:3. If 7 liters of water is added, the ratio of alcohol and water becomes 3:4. Find the quantity of alcohol in the mixture.

Correct answer:

a =  12 l

Step-by-step explanation:

a:w = 4:3 a:(w+7)=3:4  3a=4w 4a=3(w+7)  3 a=4 w 4 a=3 (w+7)  3a4w=0 4a3w=21  Pivot:Row1Row2 4a3w=21 3a4w=0  Row243 Row1Row2 4a3w=21 1.75w=15.75  w=1.7515.75=9 a=421+3w=421+3 9=12=12 l  a=12 w=9



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