Evelyn has 12.7 quarte of fruit punch in a cooler. she pours the fruit punch into glasses. she fills 5 glasses, each with a capacity of 0.36 quart. then she fills 8 glasses, each with a capacity of 0.52 quart. how much fruit punch is left in the cooler?

There is 6.74 quarts left in the cooler.

Since 5 of the glasses have a capacity of 0.36 qt, this is a total of 5(0.36) = 1.8 qt.  The 8 glasses that have a capacity of 0.52 qt have a total of 8(0.52) = 4.16 qt.  This gives a total of 4.16+1.8 = 5.96 qt.

To find the remaining, subtract from 12.7:
12.7-5.96 = 6.74 qt.