so we want to know what the largest number that can go into both 90 and 120 aka the Greatest common factor or GCF
so 90=3 3 2 5
120=2 2 3 2 5 the number in common are 3 2*5 if we multiply that out we get 30 so 30 is the maximum number of students so that they all share equally so 90/30=3 so each student gets 3 packs of cheese crackers 120/30=4 so each student gets 4 cans of juice
Ok, First you have to find the GCF of 120 and 90. When I got the answer I got a GCF of 30. I got 30 by multiplying all the number prime numbers 120 and 90 had, 2ร3ร5=30 What I did next was divide thirty by the number of cracker and also by the number of can of juice.
120รท30= 4
90รท30= 3
So as you can see there could be a maximum 30 of kid's. Each of the kids would receive 4 cans of juice and 3 packs of cheese crackers.
I hope you enjoyed my explanation. :)
The largest number of students that can attend the picnic is 30. Each student will receive 4 cans of juice and 3 packs of cheese crackers.
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