SOLUTION: In a camp, there was enough food to feed 2000 people on equal rations for 90 days. After 20 days, 500 more people joined the camp. Calculate the number of days that the remaining f

Algebra.Com
Question 988865: In a camp, there was enough food to feed 2000 people on equal rations for 90 days. After 20 days, 500 more people joined the camp. Calculate the number of days that the remaining food would be used to feed the people.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
In a camp, there was enough food to feed 2000 people on equal rations for 90 days.
After 20 days, 500 more people joined the camp.
Calculate the number of days that the remaining food would be used to feed the people.
:
Find how many meal-man days available
2000 * 90 = 180000
:
let d = no. of remaining days available when 500 men added
:
20(2000) + 2500d = 180000
40000 + 2500d = 180000
simplify, divide by 100
400 + 25d = 1800
25d = 1800 - 400
25d = 1400
d = 1400/25
d = 56 days of food after the increase to 2500 men

RELATED QUESTIONS

A fort has enough provisions to feed everyone in it for 90 days. After 20 days, 600 more... (answered by ikleyn,greenestamps)
a camp had enough food to last 50 days for 2200 soldiers . after 17 days some more... (answered by ankor@dixie-net.com)
A naval detachment has enough rations to feed fifteen people for 8 days. If five more... (answered by ankor@dixie-net.com)
A shop has enough food to feed 520 people for 8 days. 312 more people arrive. How long... (answered by shahbazn,Alan3354)
At a winter camp, there is sufficient food to last for 12 days for 20 students. After 3 (answered by josgarithmetic)
In a fort, ration for 2000 people was sufficient for 54 days. After 15 days, more people (answered by richwmiller)
The 250 soldiers in a camp had enough food for forty days, After 10 days, 50 soldiers... (answered by ValorousDawn,MathTherapy)
At RSM summer camp 100 students had enough food for a 30-days stay. After 2 days 40 new... (answered by greenestamps,ankor@dixie-net.com)
How to Solve? if 300 people eat an amount food for 90 days and after 20 days 50 people... (answered by richwmiller)