SOLUTION: An army of 2400 men has a stock of food sufficient for 50 days. After 10 days 800 men joined the army. For how many days will the food be sufficient now? If the ratio of one was re
Algebra.Com
Question 594368: An army of 2400 men has a stock of food sufficient for 50 days. After 10 days 800 men joined the army. For how many days will the food be sufficient now? If the ratio of one was reduced by 1/3 for how many days will the stock last?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An army of 2400 men has a stock of food sufficient for 50 days.
After 10 days 800 men joined the army.
For how many days will the food be sufficient now?
:
Find number of meal-days available: 2400*50 = 120,000 meal-days
:
Let d = no. of days after 800 men join the 2400 men after 10 days
2400(10) + d(2400+800) = 120000
24000 + 3200d = 120000
3200d = 120000 - 24000
3200d = 96000
d = 96000/3200
d = 30 more days
therefore
30+10 = 40 days of food
:
If the ration of one was reduced by 1/3 for how many days will the stock last?
I understand that to mean that 2/3 rather than 1 per days
= 40 * 3/2 = 120/2 = 60 days instead of 40
RELATED QUESTIONS
Hi
an army camp had provision for food for 150 men for 45 days.after 10 days 25 men... (answered by josgarithmetic)
An Army camp consists of 800 soldiers and their canteen has food provision that last for... (answered by ankor@dixie-net.com)
In a camp of 4000 men, there were provisions of food for 190 days. After 30 days 800 men... (answered by ankor@dixie-net.com)
n a fort 600 persons have food provision for 27 days and after 10 days 80 persons more... (answered by ikleyn)
In a fort persons have food provision for 27 days and after 10 days 80 persons more... (answered by ikleyn)
A construction crew of 150 men has enough food for 9 days. How many days will the food... (answered by ankor@dixie-net.com)
a fort is provisioned for 42 days; after 10 days a reinforcement of 200 men arrives and... (answered by stanbon)
An army camp there were provisions car 560 men for 28 days. 440 men attend the camp . How (answered by JulietG)
In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For... (answered by richwmiller)