SOLUTION: A group of 156 tourists had enough food for a stay of 125 days in the mountains. However, just before they left, n tourists left the group, and this meant that the group had enough

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A group of 156 tourists had enough food for a stay of 125 days in the mountains. However, just before they left, n tourists left the group, and this meant that the group had enough      Log On


   

Question 1124795: A group of 156 tourists had enough food for a stay of 125 days in the mountains. However, just before they left, n tourists left the group, and this meant that the group had enough food to lengthen their stay for another 70 days. How many people left the group?
A)38
B)63
C)52
D)67
E)56
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Before they started, they had 156 times 125 daily rations.

After n people left, they had (156 - n)(125 + 70) daily rations.

Since they didn't change the amount of food they had, these two expressions must be equal.

Set them equal to each other and solve the resulting equation for n.


John

My calculator said it, I believe it, that settles it