in a series of stamps annie must buy six of each

one cost $4.00
one cost $2.50
one cost $1.20
one cost $1.00
she had to post a parcel and totals cost of postage was $25.70.what stamps can she use from the selection to make up this amount using
a)as many $4.00 stamps as possible
b)all her $1.00 stamps
c)what is the largest # that she can use from her collection to post the parcel
d)list the stamps she can use

in a series of stamps annie must buy six of each

one cost $4.00
one cost $2.50
one cost $1.20
one cost $1.00
she had to post a parcel and totals cost of postage was $25.70.what stamps can she use from the selection to make up this amount using
a)as many $4.00 stamps as possible
b)all her $1.00 stamps
c)what is the largest # that she can use from her collection to post the parcel
d)list the stamps she can use

Must use all the $1.00 stamps.
Therefore 25.70 - 6.00 = 19.70
The maximum number of $4.00 stamps now useable is 4.
Therefore, 19.70 - 16 = $3.70
Using 1 $1.20 and 1 $2.50 makes $3.70.

Therefore:
6 + 1.20 + 2.50 + 16 = $25.70

I'll get you started.

To get the $0.70, she'll need to use one $2.50 stamp and one $1.20 stamp in each situation.

$25.70 - $3.70 = $22.00

a) five $4.00 stamps + two $1.00 stamps + one $2.50 stamps + one $1.20 stamps

b) six $1.00 stamps + one $2.50 stamps + one $1.20 stamps + ???

We'll be glad to check your answers.

a) To find out how many $4.00 stamps Annie can use to make up the total cost, we need to subtract the cost of other stamps from the total cost until there is not enough remaining balance for another $4.00 stamp.

$25.70 - $4.00 = $21.70
$21.70 - $4.00 = $17.70
$17.70 - $4.00 = $13.70
$13.70 - $4.00 = $9.70
$9.70 - $4.00 = $5.70
$5.70 - $4.00 = $1.70

After 5 iterations, there is no enough remaining balance for another $4.00 stamp. Therefore, Annie can use 5 $4.00 stamps.

b) If Annie wants to use all her $1.00 stamps to make up the total cost, she needs to divide the total cost by the cost of each $1.00 stamp.

$25.70 ÷ $1.00 = 25.70

Therefore, Annie can use 25 $1.00 stamps.

c) To find the largest number of stamps Annie can use from her collection to post the parcel, we need to calculate the maximum number of each stamp that fits within the total cost. Then, we choose the minimum of those maximum numbers.

The maximum number of $4.00 stamps:
$25.70 ÷ $4.00 = 6 (maximum number of $4.00 stamps)

The maximum number of $2.50 stamps:
$25.70 ÷ $2.50 = 10 (maximum number of $2.50 stamps)

The maximum number of $1.20 stamps:
$25.70 ÷ $1.20 = 21 (maximum number of $1.20 stamps)

The maximum number of $1.00 stamps:
$25.70 ÷ $1.00 = 25 (maximum number of $1.00 stamps)

The minimum of these maximums is 6, so Annie can use a maximum of 6 stamps from her collection to post the parcel.

d) Based on the above calculations, Annie can use the following stamps:
- Up to 6 $4.00 stamps (she can use 5 of them)
- Up to 10 $2.50 stamps
- Up to 21 $1.20 stamps
- Up to 25 $1.00 stamps

To solve this problem, we will use a combination of mathematical calculations and logical deductions. Let's go through each part of the question step-by-step:

a) To use as many $4.00 stamps as possible, we need to find the maximum number of $4.00 stamps Annie can use without exceeding the total cost of postage ($25.70).

To do this, we can start by dividing the total cost by $4.00:

$25.70 / $4.00 ≈ 6.425

Since we cannot use a fractional number of stamps, we need to round down to the nearest whole number. So, Annie can use a maximum of 6 $4.00 stamps, which would equal $4.00 × 6 = $<<4*6=24.00>>24.00.

b) To use all her $1.00 stamps, we need to determine the maximum number of $1.00 stamps Annie can use without exceeding the total cost of postage ($25.70).

To do this, we can divide the total cost by $1.00:

$25.70 / $1.00 = 25.70

Here, we can use the whole number result since we can use a fractional number of $1.00 stamps. So, Annie can use a maximum of 25 $1.00 stamps, which would equal $1.00 × 25 = $<<1*25=25.00>>25.00.

c) To find the largest number that Annie can use from her collection to post the parcel, we need to consider all the stamp denominations and their costs.

By listing the stamps in descending order of cost, we have:
- $4.00 stamp
- $2.50 stamp
- $1.20 stamp
- $1.00 stamp

Starting with the highest denomination ($4.00 stamp), we can follow these steps to determine how many can be used:
- Divide the total cost of postage ($25.70) by $4.00:
$25.70 / $4.00 ≈ 6.425
- Round down to find the maximum number of $4.00 stamps Annie can use: 6

Now, let's move on to the $2.50 stamps:
- Subtract the total value of $4.00 stamps used from the total cost:
$25.70 - ($4.00 × 6) = $25.70 - $24.00 = $1.70
- Divide the remaining value by $2.50:
$1.70 / $2.50 ≈ 0.68
- Since we cannot use a fractional number of stamps, we cannot use any $2.50 stamps.

Next, let's consider the $1.20 stamps:
- Subtract the value of all the stamps used so far from the total cost:
$25.70 - ($4.00 × 6) - ($2.50 × 0) = $25.70 - $24.00 - $0.00 = $1.70
- Divide the remaining value by $1.20:
$1.70 / $1.20 ≈ 1.42
- Since we cannot use a fractional number of stamps, we cannot use any $1.20 stamps.

Finally, we have the $1.00 stamps:
- Subtract the value of all the stamps used so far from the total cost:
$25.70 - ($4.00 × 6) - ($2.50 × 0) - ($1.20 × 0) = $25.70 - $24.00 - $0.00 - $0.00 = $1.70
- Divide the remaining value by $1.00:
$1.70 / $1.00 ≈ 1.70
- Round down to find the maximum number of $1.00 stamps Annie can use: 1

d) As deduced in the previous steps, Annie can use:
- 6 $4.00 stamps (totaling $24.00)
- 1 $1.00 stamp (totaling $1.00)

Therefore, the list of stamps Annie can use is:
- 6 $4.00 stamps
- 1 $1.00 stamp