Solving tasks

a/ When we cut each carrot into sixths, there will be 24 pieces more in the soup than when we cut it into quarters. How many carrots do we cut?
b/ In an orchard there were 46 more apple trees than pear trees. A storm uprooted a quarter of the apple trees and 7 pear trees, so that 80 trees remained in the orchard. How many apple trees were originally in the orchard?
c/ At the half-year 25% of the pupils had distinction. At the end of the year another 3 pupils joined them, and thus a third of the pupils had distinction. How many pupils were there in the class?

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