If a card contains the number 47229 and mrs.s picks a 7, the card is worth 7000 points. If she picks a 2 its worth 220 point.
Ashley has these cards
49298 83483 43281
If mrs.s pick a 3 how many points will she have? What digit will make he have the highest score possible?
3 will be three thousand, see the last number
4 will be the biggest score...figure out why.
what I don't get it
looks like the point value is determined by the "place holder" value of the number.
so for 3
no points from first card
3000 + 3 from the second card
3000 from the third
for a total of 6003
picking 8 will yield the highest number of points
thank you
What digit does she hope the teacher will pull next week so she will have he highest possible score?
To determine the number of points Mrs.S will have if she picks a 3, we need to evaluate the value of each card containing the digit 3 and add them up.
Let's go through Ashley's cards one by one:
1. Card 1: 49298
This card doesn't contain the digit 3, so it won't contribute any points to Mrs.S's score.
2. Card 2: 83483
This card contains two instances of the digit 3. Each 3 is worth 3000 points (3 x 1000), so the total value for this card is 6000 points.
3. Card 3: 43281
This card contains one instance of the digit 3. One 3 is worth 3000 points.
Now let's add up the points Mrs.S will have:
6000 points (from Card 2) + 3000 points (from Card 3) = 9000 points
Therefore, if Mrs.S picks a 3, she will have 9000 points.
To determine the digit that will make Mrs.S have the highest score possible, we need to evaluate the value of each card for each possible digit and compare the totals.
Here are the possible digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
We'll calculate the total points for each digit by applying the given rules:
- If the digit is 7, the card's value is 7000 points.
- If the digit is 2, the card's value is 220 points.
- If the digit is any other number, the card's value is 0 points.
For each card, we'll calculate the total points for each digit and add them up.
Card 1: 49298
- For the digit 7: 0 points
- For the digit 2: 0 points
- For any other digit: 0 points
Total: 0 points
Card 2: 83483
- For the digit 7: 7000 points (2 instances of 7 x 7000 each)
- For the digit 2: 0 points
- For any other digit: 0 points
Total: 14,000 points
Card 3: 43281
- For the digit 7: 0 points
- For the digit 2: 220 points
- For any other digit: 0 points
Total: 220 points
Now, let's compare the totals:
- Digit 7: 14,000 points
- Digit 2: 220 points
- Any other digit: 0 points
Based on this, we can conclude that if Mrs.S picks a 7, she will have the highest score possible.