SOLUTION: At a winter camp, there is sufficient food to last for 12 days for 20 students. After 3 days, 10 more students join the camp. For how many days will the food last now?

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Question 712437: At a winter camp, there is sufficient food to last for 12 days for 20 students. After 3
days, 10 more students join the camp. For how many days will the food last now?

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
9 days left to go, with 10 more students, the consumption rate is 50% FASTER. This is and intuition suggests 6 days. The now 30 students will finish the food remaining in 6 days instead of 9 days.

Also there is rate time job relationship. The job is consuming the remaining 9-day food.
Count Students______rate_________days_________job
20 students_________1/9__________9____________1
30 students________1.5/9________( 6 )_________1

t=1%2F%281.5%2F9%29
t=9%2F1.5
t=6 days.