a) Tank A contains a mixture of 10 gallons water and 5 gallons pure alcohol. Tank B has 12 gallons water and 3 gallons pure alcohol. How many gallons should be taken from each tank and combined in order to obtain an 8 gallon solution containing 25% alcohol by volume?

b) Two boys move at different but constant speeds along a circle of circumference 276 m. Starting at the same time and from the same point, when they move in opposite directions they pass each other every 6 seconds and when they move in the same direction they pass each other every 23 seconds. Calculate their speeds.

c) if the numerator of certain fraction is increased by 2 and the denominator is increased by 1, the resulting fraction equals 1/2. If, however, the numerator is increased by 1 and the denominator decreased by 2, the resulting fraction equals 3/5. Calculate the fraction.

PLEASE USE TABLES FOR THE SOLUTION. PLEASE INCLUDE DISCUSSION ALSO. STRICTLY NO PICTURE / HAND WRITTEN / SCRRENSHOT. THANKS.