Increased 7685

There are 2 more pupils in the 7th grade than in the 8th grade. If the number of pupils in the 7th grade increased by 7 and the number of pupils in the 8th grade increased by a third of the original number, there would be the same number of pupils in both grades. How many pupils are there in 7th and 8th grade?

Correct answer:

a =  29
b =  27

Step-by-step explanation:


a = 2 + b
a+7 = b + b/3

a-b = 2
3a-4b = -21

Pivot: Row 1 ↔ Row 2
3a-4b = -21
a-b = 2

Row 2 - 1/3 · Row 1 → Row 2
3a-4b = -21
0.33b = 9


b = 9/0.33333333 = 27
a = -21+4b/3 = -21+4 · 27/3 = 29

a = 29
b = 27

Our linear equations calculator calculates it.



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