SOLUTION: a garrison of 1600 men is provisioned for 18 weeks at the rate of 25 kg per day per man.if some more persons join the garrison, the provisions would last for 16 weeks at the rate o

Question 388609: a garrison of 1600 men is provisioned for 18 weeks at the rate of 25 kg per day per man.if some more persons join the garrison, the provisions would last for 16 weeks at the rate of 20 kg per day per man. find the number of persons joining the garrison.
Found 2 solutions by mananth, robertb:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
m1=1600: w1=18: k1=25
...
...
m2=x: w2=16: k2=20
...
m2= 1600*(18/16)*(25/20)
m2= 2250
..
2250-1600 = 650 men joined the garrison
...
m.ananth@hotmail.ca
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
1600*25*126 = (1600 + x)20*112
2250 = 1600+x;
x = 650, the number of people joining the garrison.
RELATED QUESTIONS
A garrison of 1200 men is provisioned for 15 weeks at the rate of 3 kg per day per... (answered by ankor@dixie-net.com)
A garrison of 1200 men is provisioned for 15 weeks.How many weeks can the same provisions (answered by josgarithmetic)
the garrison of 80 men had provision for 10 days . after 2 days some persons join the... (answered by mbmodak)
A garrison of 400 men had food enough for 15 weeks. Some men were sent out and the food... (answered by ankor@dixie-net.com)
If 10 men can make 200 tables working for 15 days at the rate of 8 hr per day, how many... (answered by Edwin McCravy)
a front is provisioned for 75 days . after 25 days a reinforcement of 500 men arrives and (answered by ankor@dixie-net.com)
the wages of 12 men and 5 boys came to $446.40 per day. At a similar rate 10 men and 3... (answered by ewatrrr)
A contractor agrees to lay a road 3000m long in 30 days. 50 men are employed and they... (answered by josgarithmetic,MathTherapy)
A contractor agrees to lay a road 3000m long in 30 days. 50 men are employed and they... (answered by josgarithmetic,ikleyn)