There are several balls in the Sport Center

Question

There are several balls in the Sport Center. At least one of the balls is $1 cheaper than another one. At least one of the balls is $2 cheaper than another one. At least one of the balls is $3 cheaper than another one. At least one of the balls is $4 cheaper than another one. At least one of the balls is $6 cheaper than another one. At least one of the balls is $7 cheaper than another one. What is the least possible number of balls in the Sport

Center?

Answer 1

For this type of question, you need to be patient and read along one sentence at a time. Let's say I pick the most expensive ball and started there. Let's say the most expensive ball is $50.

The First ball I picked up - $50

At least one ball (The Second ball I picked up) is $2 less than another one (I will say the first ball, $50) - $48

At least one ball (The Third ball I picked up) is $3 less than another one (I will say the second ball, $48) - $45

At least one ball (The Forth ball I picked up) is $4 less than another one (I will say the third ball, $45) - $41

At least one ball (The Fifth ball I picked up) is $6 less than another one (I will say the fourth ball, $41) - $35

At least one ball (The Sixth ball I picked up) is $7 less than another one (I will say the fifth ball, $35) - $28

In total, I picked up 6 balls.