Christmas 5740

When the mothers sat down on the benches at the Christmas gazebo, only one mother sat on the last bench. When the six of them sat down, one mother remained standing. How many mothers were there on the gazebo, and how many benches could they sit on?

Correct answer:

l =  2
m =  13

Step-by-step explanation:


m = 7(l-1)+6
m = 6l+1

m = 7·(l-1)+6
m = 6·l+1

7l-m = 1
6l-m = -1

Row 2 - 6/7 · Row 1 → Row 2
7l-m = 1
-0.14m = -1.86


m = -1.85714286/-0.14285714 = 13
l = 1+m/7 = 1+13/7 = 2

l = 2
m = 13

Our linear equations calculator calculates it.



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