If the required rate is gallons per minute, then its obvious from the question, that the rate of filling the pool is 10 gallons per minute, and its obviously a constant number.
But for the rate to be in gallons per hour, then
1 minute corresponds to 10 gallons
so
1 hour corresponds to 10x60 = 600 gallons
hence
rate (gallons per hour) = 120,000/600 = 200 gallons per hour.
which is again a constant number.
This problem is asking us to make an algebraic equation or representation of the situation. First we have to assign the variables which is already given in the problem. H is the number of the home team and V is the visiting team. Since the problem states there are the home team has five times as manyfans as the visiting team, then it can be represented as:
H = 5V
Also, H + V = 52,000. H and V can then be solves by solving the 2 equations simultaneously. The results are 43,333 and 8,667.
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. SOOO, no there can be a lower number then both multiplied by each other.
