Three groups of people buy museum tickets. Each museum ticket costs the same amount. The total cost of the tickets for the three groups is $96, $144, and $160. What is the greatest possible price for each museum ticket?

1 Answer
MeneerNask
Oct 15, 2016

Assuming the ticket price is in whole dollars, we need to find the greatest common factor of these three numbers.

Explanation:

Factorize:
#96=2xx2xx2xx2xx2xx3#
#144=2xx2xx2xx2xx3xx3#
#160=2xx2xx2xx2xx2xx5#

We now take the lowest common powers of each factor:
GCF #=2xx2xx2xx2=16#

Check your answer:
(which will also give you the size of the groups)
#96div16=6=2xx3#
#144div16=9=3xx3#
#160div16=10=2xx5#
And these three don't share a common factor.

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