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?

Final Answer:

a =  12
b =  76
c =  36

Step-by-step explanation:


6a=24+4a

6·a=24+4·a

2a = 24


a = 24/2 = 12

a = 12

Our simple equation calculator calculates it.

b=46+h
b-b/4+h-7=80

b-h = 46
3b+4h = 348

Pivot: Row 1 ↔ Row 2
3b+4h = 348
b-h = 46

Row 2 - 1/3 · Row 1 → Row 2
3b+4h = 348
-2.33h = -70


h = -70/-2.33333333 = 30
b = 348-4h/3 = 348-4 · 30/3 = 76

b = 76
h = 30

Our linear equations calculator calculates it.

0.25c+3=c/3

0.25·c+3=c/3

0.25c = 9


c = 9/0.25 = 36

c = 36

Our simple equation calculator calculates it.



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