A bag contains 100 apples, 100 bananas, 100 oranges, and 100 pears. If I pick one piece of fruit out of the bag every minute, how long will it be before I am assured of having picked at least a dozen pieces of fruit of the same kind?

required time is here 45 minutes

Step-by-step explanation:

given data

apples = 100

bananas = 100

oranges = 100

pears = 100

solution

we have here 4 different kind of fruit

so that it is possible for each kind of fruit is

each kind of fruit is = 4 × 11  = 44

so each kind contain 11  fruit

as that 45th fruit make a dozen

now 1 fruit is pick every minute

'so we take here 45 minute to pick up 45 fruit

so that required time is here 45 minutes

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)