Question

The number of cards in Bob's baseball card collection is 3 more than twice the number of cards in Andy's. If together they have at least 156 cards, what is the least number of cards that Bob has?

Answer 1

`105`

Explanation:

Let say A is a number of card for Andy and B is for Bob.

The number of cards in Bob's baseball card, `B =2A+3`

`A+B >= 156`
`A+2A+3 >= 156`
`3A >= 156 -3`
`A >= 153/3`
`A >= 51`

therefore the least number of cards that Bob has when Andy has the smallest number of card.

`B=2(51)+3`

`B =105`