A carton in a Delhi canteen holds 32 juice packs, of which 8 are mango flavoured. How many more mango packs must be put into the carton so that a pack drawn at random has probability 2/5 of being mango?

Question

Accepted Answer

8. If x mango packs are added, mango packs = 8 + x and the total = 32 + x. Setting 8 + x/32 + x = 2/5 gives 40 + 5x = 64 + 2x, so 3x = 24 and x = 8. Check: 16 mango out of 40 packs = 2/5. Answer 4 comes from forgetting that the total grows too; 12 comes from solving for a target of 1/2.

A carton in a Delhi canteen holds 32 juice packs, of which 8 are mango flavoured. How many more mango packs must be put into the carton so that a pack drawn at random has probability $\frac{2}{5}$ of being mango?

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More Class 10 Probability Word Problems practice

A carton in a Delhi canteen holds 32 juice packs, of which 8 are mango flavoured. How many more mango packs must be put into the carton so that a pack drawn at random has probability 52​ of being mango?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Probability Word Problems practice

A carton in a Delhi canteen holds 32 juice packs, of which 8 are mango flavoured. How many more mango packs must be put into the carton so that a pack drawn at random has probability $\frac{2}{5}$ of being mango?