Word Problem

Word Problem?

"Airfares for flights from Sacramento to San Diego cost $180 for first class and $120 for coach. A flight has 52 passengers who paid a total of $7260. How many first class passengers were on the flight?" What is the verbal model supposed to look for this kind of problem? I got: [Total Cost]=[Price of 1st Class] x [# of first class] + [Price of coach] x [# of coach] but how do I work the 52 passengers into that? Actually, I can't really figure it out still now that I have the two equations. I've completely forgotten how to solve word problems. HELPP!! Nevermind I figured it out =]

Mathematics - 4 Answers

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1 :

there are two formulas. you have the first one the second one is # of first class + # of coach = 52

2 :

[# of first class] + [# of coach] = 52

3 :

Let X = number of first class passengers Y = number of coach passengers Your working equations are: Equation 1: X + Y = 52 Equation 2: 180X + 120Y = 7260 You have two equation with two unknowns. I trust that you can proceed with the required algebraic operations from here.

4 :

You don't need 2 equations. F = [# of first class] [Total Cost]=[Price of 1st Class] x F + [Price of coach] x (52-F) Solve for F.