Passengers 5441

There are 36 passengers on the bus. There are seven women more than men and 22 children less than adults. How many men, women, and children are on the bus?

Correct answer:

d =  7
m =  11
z =  18

Step-by-step explanation:


m+z+d=36
z = 7+m
d = m+z-22

d+m+z = 36
m-z = -7
d-m-z = -22

Row 3 - Row 1 → Row 3
d+m+z = 36
m-z = -7
-2m-2z = -58

Pivot: Row 2 ↔ Row 3
d+m+z = 36
-2m-2z = -58
m-z = -7

Row 3 - 1/-2 · Row 2 → Row 3
d+m+z = 36
-2m-2z = -58
-2z = -36


z = -36/-2 = 18
m = -58+2z/-2 = -58+2 · 18/-2 = 11
d = 36-m-z = 36-11-18 = 7

d = 7
m = 11
z = 18

Our linear equations calculator calculates it.



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