A shopkeeper sells mangoes in two types of boxes, one small and one large. A large box contains as many as 8 small boxes plus 4 loose mangoes. Set up an equation which gives the number of mangoes in each small box. The number of mangoes in a large box is given to be 100.

If there are 50 mangoes in a box,how will you write the total number of mangoes in terms of the number of boxes ?(Use b for the number of bxes.)

Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still, 10 oranges remain outside. If the number of oranges in a small box is taken to be x , what is the number of oranges in the larger box?

A firm has to transport 1200 packages using large vans which can carry 200 packages each and small vans which can take 80 packages each. The cost for engaging each large van is Rs.400 and each small vans is Rs.200 not more than Rs.3000 is to be spend on the job and the number of large vans can not exceed the number of small vans. formulate the problem as a LPP given that the objective is to minimise cost. also solve this LPP graphcially to find the minimum cost.

A box contains 16 bulbs out of which 4 bulbs are defective. 3 bulbs are drawn one by one from the box without replacement. Find the probability distribution of the number of defective bulbs.