Sowing equipment

Farmer Jadrný sowed wheat in autumn with a large sowing equipment and rye with a small sowing equipment. The area of all fields sown with wheat in 7.5 h was twice as large as the area of all fields sown with rye in 6 h. The sum of the areas of all fields sown with wheat in 5 h and all areas of fields sown with rye in 4 h equalled 3 ha.

What large area of fields could be sown in 1 hour a) with the large sowing equipment, b) with the small sowing equipment?

Final Answer:

a =  0.4 ha/h
b =  0.25 ha/h

Step-by-step explanation:


a·7.5 = 2·b·6
5·a+4·b = 3

7.5a-12b = 0
5a+4b = 3

Row 2 - 5/7.5 · Row 1 → Row 2
7.5a-12b = 0
12b = 3


b = 3/12 = 0.25
a = 0+12b/7.5 = 0+12 · 0.25/7.5 = 0.4

a = 2/5 = 0.4
b = 1/4 = 0.25

Our linear equations calculator calculates it.
b=0.25=0.25 ha/h



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algebraUnits of physical quantitiesthemes, topicsGrade of the word problem

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