Problema Solution

A crowd of 50,000 fans is expected to attend the homecoming football game. If the typical vendor can serve 1,500 customers per hour and the game will last for four hours, how many vendors are needed to ensure that each fan can be served during the game? (Round to the nearest whole number.)

Answer provided by our tutors

Let 'x' represent the number of vendors, x is integer.

In 4 hours each vendor will serve: 1,500*4 = 6,000 customers

In 4 hours x vendors will serve: 6,000x customers

6,000x >= 50,000

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click here to see the inequality solved for x

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x >= 8.33

The smallest integer that is larger than 8.33 is 9 therefor 9 vendors are needed.