for part 2 of the questions is it six $1.00 stamps + one $2.50 + one $1.20 and four $4.00
and how do i find the largest number of stamps that she can use from the collection to post a parcel and to list them
Yes. Your part 2 answer is correct. :-)
I'm sure there's a formula for your next question, but I don't know it. Try trial and error -- starting with six $1.00 stamps + one $2.50 + one $1.20 = $9.70. What are the most stamps you can use to make up the $16 difference?
To find the largest number of stamps that can be used from the collection to post a parcel, you need to determine the combination of stamps that is closest to the required postage amount without exceeding it.
Let's add up the values of the stamps in the collection:
6 * $1.00 = $6.00
1 * $2.50 = $2.50
1 * $1.20 = $1.20
4 * $4.00 = $16.00
The total value of the stamps in the collection is:
$6.00 + $2.50 + $1.20 + $16.00 = $25.70
Now, to list the stamps that can be used, you'll start with the highest denomination stamps and work your way down.
1. Four $4.00 stamps can be used, totaling $16.00.
Next, subtract the value of those stamps from the total postage required:
$25.70 - $16.00 = $9.70
2. The largest denomination stamp remaining is the $2.50 stamp. However, using it would exceed the remaining postage required. So, this stamp cannot be used.
Now, subtract the value of the $2.50 stamp from the remaining postage required:
$9.70 - $2.50 = $7.20
3. The largest denomination stamp smaller than $7.20 is the $4.00 stamp. However, using another one would exceed the remaining postage required. So, this stamp cannot be used either.
Now, subtract the value of the unused $4.00 stamp from the remaining postage required:
$7.20 - $4.00 = $3.20
4. The next largest denomination stamp is the $1.20 stamp, which can be used.
Subtract the value of the $1.20 stamp from the remaining postage required:
$3.20 - $1.20 = $2.00
5. The next largest denomination stamp is the $1.00 stamp. To make up the remaining postage required, you would need two $1.00 stamps, but you only have six of them. Therefore, you can use two $1.00 stamps.
Now, subtract the value of the two $1.00 stamps from the remaining postage required:
$2.00 - (2 * $1.00) = $0.00
You have reached the required postage amount of $0.00 using the stamps from the collection without exceeding it.
To determine the largest number of stamps that can be used from the collection to post a parcel, you will need to add up the denominations of the stamps and find a combination that is closest to the postage amount required. Let's go step by step through the stamp values provided:
1. List all the stamp values provided in the question:
- Six $1.00 stamps
- One $2.50 stamp
- One $1.20 stamp
- Four $4.00 stamps
2. Add up the total value of the stamps:
- Six $1.00 stamps = $1.00 x 6 = $6.00
- One $2.50 stamp = $2.50
- One $1.20 stamp = $1.20
- Four $4.00 stamps = $4.00 x 4 = $16.00
Therefore, the total value of all the stamps is $6.00 + $2.50 + $1.20 + $16.00 = $25.70.
3. Determine the postage amount required. Since the question does not provide a specific postage amount, you will need that information to proceed.
4. Once you have the postage amount required, you can start listing the stamps in descending order based on their values. Begin by using the highest denomination stamps first and work your way down.
5. Subtract the value of each stamp used from the total value of the stamps until the remaining value is either zero or as close as possible to zero without going below.
Here's an example of how this process could work with a postage amount of $20.00:
- Start with the highest denomination stamp: Four $4.00 stamps ($4.00 x 4 = $16.00)
- Remaining value: $20.00 - $16.00 = $4.00
- Next highest denomination stamp: One $2.50 stamp ($2.50)
- Remaining value: $4.00 - $2.50 = $1.50
- Next highest denomination stamp: Six $1.00 stamps ($1.00 x 6 = $6.00)
- Remaining value: $1.50 - $6.00 = -$4.50 (this value is below zero, so we can stop here)
Based on this example, the largest number of stamps that can be used to post a parcel with a postage amount of $20.00 is:
- Four $4.00 stamps
- One $2.50 stamp
Please note that the combination of stamps required may vary depending on the specific postage amount needed.