Answer:
They started out with 60 meals
Step-by-step explanation:
Firstly, While napping a bear took half of the meals.
Proportion Taken=1/2
Remainder= 1-1/2=1/2
While swimming, the bears ate 2/3 of the remaining meals.
Proportion Taken= 2/3 of Previous
= 2/3 of 1/2=1/3
Remainder now = 1/2-1/3=1/6
While climbing the bears took 2/5 of the remaining meals
Proportion Taken
=2/5 of Previous Remainder
=2/5 of 1/6=2/5 X 1/6 = 1/15
Remainder Now= 1/6-1/15=1/10
Since They are left with 6 meals and the proportion left is 1/10
We want to find the number of Meals they Started Out with.
Let total=y
1/10 of the total = 6
1/10 X y = 6
y = 10X6 =60.
They started out with 60 meals