Men, women and children

On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?

Correct result:

z =  12

Solution:


60d + 150m + 150z = 4200
m = 2k
z = 3k
d= 5k

60•d + 150•m + 150•z = 4200
m = 2•k
z = 3•k
d= 5•k

60d+150m+150z = 4200
2k-m = 0
3k-z = 0
d-5k = 0

d = 20
k = 4
m = 8
z = 12

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