Q:

Mark and his friends ordered 2 pizzas. The same sizeThey cut the first pizza into 6 equal sliceThey cut the second pizza into 4 equal slicesEach person plans to get 2 slices. Mark concludes that he would have more slices or pizza if he gets 1 slice from each pizza rather then getting 2 slices from the first pizza. Explain why mark is correct. Make sure to use > or < in you explanation

Accepted Solution

A:
we know that

They cut the first pizza into 6 equal slice---> each slice is 1/6 of a whole pizza

They cut the second pizza into 4 equal slices---> each slice is 1/4 of a whole pizza

Each person plans to get 2 slices

case 1) one slide pizza 1 and one slide pizza 2
total pizza=(1/6)+(1/4)----> (4+6)/24----> 10/24----> 5/12 of a whole pizza

case 2) two slides pizza 1
total pizza=2*(1/6)-----> 2/6----> multiply by 2-----> (2/2)*2/6---> 4/12Β 
so
4/12 < 5/12-------> Mark is correct