SOLUTION: The 250 soldiers in a camp had enough food for forty days, After 10 days, 50 soldiers joined them. For how long will the remaining food last them? Solve using variation.

Question 1012045: The 250 soldiers in a camp had enough food for forty days, After 10 days, 50 soldiers joined them. For how long will the remaining food last them? Solve using variation.
Found 2 solutions by ValorousDawn, MathTherapy:
Answer by ValorousDawn(53) (Show Source): You can put this solution on YOUR website!
I don't even think variation is a legitimate way to solve this problem but here's something.
Lets say each soldier eats 1 food unit every day. Forty days for 250 soldiers is 10,000 food units. After 10 days, they are down to 10,000-250*10=8,750. If there are now , they then subsequently will eat 300 food units a day. They will have food for days. If you must round, you'd round down, for 29 days.
Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

The 250 soldiers in a camp had enough food for forty days, After 10 days, 50 soldiers joined them. For how long will the remaining food last them? Solve using variation.

Let S be number of soldiers, k = constant of variation, j = amount of food, and T = time

k = 250(40), or 10,000
Let fraction consumed after 10 days, be j

j, or fraction consumed after 10 days = , or
With of food consumed remains, and 300 (250 + 50) soldiers are in camp

300T = 7,500 ------- Cross-multiplying
T, or time the remaining of food will last = , or days
RELATED QUESTIONS
a camp had enough food to last 50 days for 2200 soldiers . after 17 days some more... (answered by ankor@dixie-net.com)
3)1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were... (answered by Narsinghchauhan8960103366)
In a ship there were stored food for 50 sailors for 16 days. After 10 days 10 more... (answered by ankor@dixie-net.com,ikleyn)
Hi In a castle there is enough food for 72 soldiers to last 24 days. After 4 days... (answered by Theo,greenestamps)
1000 soldiers in a fort had enough food for 20 days. But some soldiers were transferred... (answered by ewatrrr)
Q.22 1000 soldiers in a fort had enough food for 20 days. But some soldiers were... (answered by ankor@dixie-net.com)
There are 66 days food available in camp of 5700 soldiers.If 20 soldiers are killed in (answered by ankor@dixie-net.com)
if a certain amount of food will last 50 days for 200 soldiers, how long will it last if... (answered by ankor@dixie-net.com)
A fort has enough provisions to feed everyone in it for 90 days. After 20 days, 600 more... (answered by ikleyn,greenestamps)