Week 23 CMT Problem - 5th Grade

Pick a Card, Any Card

A set of cards for a new game contains 25 cards.

Sixteen cards are labeled A
Eight cards are labeled B
One card is labeled C.


In the game, points are awarded in this way:

A cards are worth 2 points
B cards are worth 5 points
C cards are worth 10 points

When you play the game you end with some or all of the cards. Bill could have ended up with all 16 A cards for a total of 32 points.

1. What is the most points Bill could have ended up with if he had 5 cards.
   
   
2. What is the most points Bill could have had if he ended up with 10 cards?
   
   
3. What is the least amount of points Bill could have had if he had 20 cards?
   
   
4. Show THREE other ways that Bill could have gotten a total of 32 points and show how these combinations add up to 32 points.