Math  /  Numbers & Operations

QuestionIf the cost to mail a letter is 48 cents for mail weighing up to one ounce and 29 cents for each additional ounce or fraction of an ounce, find the cost of mailing a letter that weighs 92 grams.
The cost to mail the letter is $\$ \square (Type an integer or a decimal.)

Studdy Solution

STEP 1

What is this asking? How much does it cost to mail a letter weighing 92 grams, given a pricing structure based on ounces? Watch out! We need to convert grams to ounces and remember that extra fractions of an ounce still cost a full 29 cents!

STEP 2

1. Convert grams to ounces
2. Calculate the number of additional ounces
3. Calculate the total cost

STEP 3

We're given the weight of the letter in grams, but the pricing is in ounces.
So, we **must** convert!
Remember that 1 ounce is approximately 28.35 grams.
Let's find out how many ounces 92 grams is.

STEP 4

To do this, we'll **divide** the weight in grams (9292) by the number of grams in an ounce (28.3528.35):
9228.353.24 \frac{92}{28.35} \approx 3.24 So, our letter weighs approximately **3.24 ounces**.

STEP 5

The first ounce costs 48 cents.
Each *additional* ounce (or fraction thereof) costs 29 cents.
Since our letter weighs 3.243.24 ounces, we have 3.241=2.243.24 - 1 = 2.24 additional ounces.

STEP 6

Since even fractions of an ounce are rounded up to the next full ounce for pricing, we need to consider 2.242.24 additional ounces as **3** additional ounces for our calculation.
We always round up!

STEP 7

Now, let's calculate the **total cost**.
The first ounce costs $0.48\$0.48.
We have **3** additional ounces, each costing $0.29\$0.29.

STEP 8

So, the cost of the additional ounces is 3$0.29=$0.873 \cdot \$0.29 = \$0.87.

STEP 9

Adding the cost of the first ounce, the **total cost** is $0.48+$0.87=$1.35\$0.48 + \$0.87 = \$1.35.

STEP 10

The cost to mail the letter is $1.35\$1.35.

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