Quarter 3106

In the orchard, there were 46 more apple trees than pears. The storm upset a quarter of apple trees and seven pears; however, there were still 80 trees left. How many were apple trees and how many pears in the garden?

Correct answer:

a =  76
b =  30

Step-by-step explanation:


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

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

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

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


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

a = 76
b = 30

Our linear equations calculator calculates it.



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