SOLUTION: In a ship there were stored food for 50 sailors for 16 days. After 10 days 10 more soldiers joined them. How many days the remaining food would last?

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Question 1031265: In a ship there were stored food for 50 sailors for 16 days. After 10 days 10 more soldiers joined them. How many days the remaining food would last?
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
In a ship there were stored food for 50 sailors for 16 days.
After 10 days 10 more soldiers joined them.
How many days the remaining food last?
:
Find how many man-days of food available?
50*16 = 800 man-days of food
:
let d = remaining days of food available, with the additional men added
50(d+10) + 10d = 800
50d + 500 + 10d = 800
50d + 10d = 800 - 500
60d = 300
d = 300/60
d = 5 days
:
:
Check this
Original group consumed 50(10+5) = 750 man-days of food
Additional 10 men consumed:10 * 5 = 50 man-days
-----------------------------------------------
Total consumption altogether: 800 man-days
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
In a ship there were stored food for 50 sailors for 16 days. After 10 days 10 more soldiers joined them. How many days the remaining food would last?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

1.  50*16 = 800.

2.  800 - 50*10 = 800 - 500 = 300.

3.  50 + 10 = 60.

4.   = 5.

Answer. For 5 days.


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