Cherries 2852

Pears and cherries grow in the orchard. There are a total of 510 trees. Half of all cherries and a quarter of pears are just as many as all cherries. How many pears and how many cherries?

Correct answer:

c =  170
h =  340

Step-by-step explanation:


h+c=510
c/2+h/4=c

c+h = 510
2c-h = 0

Pivot: Row 1 ↔ Row 2
2c-h = 0
c+h = 510

Row 2 - 1/2 · Row 1 → Row 2
2c-h = 0
1.5h = 510


h = 510/1.5 = 340
c = 0+h/2 = 0+340/2 = 170

c = 170
h = 340

Our linear equations calculator calculates it.



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