Make the Highest Total

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Luana is playing a game. She has 6 cards numbered 1 to 6. She has to place them into the three positions of this grid to make the highest possible total she can.

HighestTotal1.

The right-most position represents the ones column for the number that she will finally produce. The middle position is the tens column and the left-most position is for the hundreds.

She has to position the cards after rolling a dice. She rolled a 3 first and decided to place card 3 into the tens column.

HighestTotal2.

She then rolled a 5. Where should she place the 5 to get the highest 3-digit number on average? [She only has 1 of each card, if she rolls another 3, or another 5, she just rolls again.]

Solution