2) How much 64% acid solution should be mixed with 12 gallons of a 38% acid solution in order to make a 52% acid solution?

14 gallons of the 64% acid solution is needed

Work Shown:

x = amount, in gallons, of the 64% acid solution

0.64x = amount of pure acid from the stuff we're adding in

0.38*12 = 4.56 = amount of pure acid from 38% solution

In total, we have 0.64x+4.56 gallons of pure acid out of x+12 gallons total

Dividing the two amounts will give us the decimal form of the percentage. Set this equal to 0.52 and solve for x

(0.64x+4.56)/(x+12) = 0.52

0.64x+4.56 = 0.52(x+12)

0.64x+4.56 = 0.52x+6.24

0.64x-0.52x = 6.24-4.56

0.12x = 1.68

x = 1.68/0.12

x = 14 gallons is the amount of the 64% acid solution we need to add in

honesty mood

step-by-step explanation:

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: