SOLUTION: Two tanks hold a total of 51 gallons of a toxic solvent. One tank holds 6 gallons more than twice the amount in the other. How many gallons does each tank hold? AND The thr

Question 956543: Two tanks hold a total of 51 gallons of a toxic solvent. One tank holds 6 gallons more than twice the amount in the other. How many gallons does each tank hold?
AND
The three numbers of the combination for a lock are consecutive integers, and their sum is 108. Find the combination.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
PROBLEM 1): Two tanks
T=capacity of smaller tank
T+2T+6=51 gallons Subtract 6 from each side.
3T=45 Divide each side by 3.
T=15 gallons ANSWER 1: The smaller tank holds 15 gallons.
2T+6=2(15)+6=36 gallons ANSWER 2: The larger tank holds 36 gallons
.
PROBLEM 2): Consecutive integers
n=smallest integer; n+1=middle integer; n+2=largest integer
n+(n+1)+(n+2)=108
3n+3=108 Subtract 3 from each side.
3n=105 Divide each side by 3.
n=35 ANSWER 1: The smallest integer is 35.
n+1=36 ANSWER 2: The second integer is 36.
n+2=37 ANSWER 3: The third integer is 37.

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