SOLUTION: A caterer estimates that 2 gallons of fruit punch will serve 5 people. How much additional punch is necessary to serve 75 people? Set up an equation to solve the word problem and g
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Question 1134239: A caterer estimates that 2 gallons of fruit punch will serve 5 people. How much additional punch is necessary to serve 75 people? Set up an equation to solve the word problem and give necessary steps to solve.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you have a ratio.
that ratio is 2/5 = x/75
cross multiply to get 2*75 = 5*x
solve for x to get x = 2*75/5 = 2*15 = 30
2 gallons will serve 5 people.
30 gallons will serve 75 people.
if 2 gallons serve 5 people, then the number of people served per gallon is 5/2 = 2.5.
if 30 gallons serve 75 people, then the number of people served per gallon is 75/30 = 2.5.
the question is how much additional punch is required to serve 75 people.
if 2 gallons serves 5 and 30 gallons serves 75, then an additional (30 - 2 = 28 gallons is required to serve 75.
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