Trees

Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apples for 50 CZK a piece. The entire plantation cost 12,800 CZK. How many cherries and apples?

Correct answer:

a =  30
b =  220

Step-by-step explanation:


a+b=250
60a + 50b = 12800

a+b=250
60·a + 50·b = 12800

a+b = 250
60a+50b = 12800

Pivot: Row 1 ↔ Row 2
60a+50b = 12800
a+b = 250

Row 2 - 1/60 · Row 1 → Row 2
60a+50b = 12800
0.17b = 36.67


b = 36.66666667/0.16666667 = 220
a = 12800-50b/60 = 12800-50 · 220/60 = 30

a = 30
b = 220

Our linear equations calculator calculates it.



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