# 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?

Jan 31, 2017

$105$

#### 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, $B = 2 A + 3$

$A + B \ge 156$
$A + 2 A + 3 \ge 156$
$3 A \ge 156 - 3$
$A \ge \frac{153}{3}$
$A \ge 51$

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

$B = 2 \left(51\right) + 3$

$B = 105$
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