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If the cost to mail a letter is 40 cents for mail weighing up to one ounce and 24 cents for each additional ounce or fraction of an ounce, find the cost of mailing a letter that weighs 79 grams.



Answer :

Answer: 88 cents

Step-by-step explanation:

First, let's finds the conversion rates between ounces and grams in case we need them:

1 gram = ~0.035 ounce

1 ounce = ~28.34 grams

Now, let's make an equation that represents the question. Here's what we know:

  1. One letter is 40 cents if it weighs 1 ounce or less
  2. Each additional ounce or fraction of an ounce is 24 cents added
  3. The letter we are sending is 79 grams

Let's first find out what 79 grams is in ounces:

79 grams = 2.78664 ounces

Now, let's set up an equation. Let's say x represents each additional ounce and/or fraction of an ounce and y is the cost:

40(1) + 24x = y

This equation means: 40 times 1 ounce plus 24 times the additional ounces equals y, the total cost.

To find how many additional ounces we have, we can subtract 1 from 2.78664:

2.78664 - 1 = 1.78664

We have 1 additional ounce and 1 additional fraction of an ounce, so we will  substitute x for 2.

Now, we can plug this in as x:

40(1) + 24(2) = y

40 + 48 = y

88 = y

So, the cost of mailing a letter that weighs 79 grams is 88 cents.

Note: you can also round the decimals used here to the hundredths place if you find that to be easier. In this case, we would round our final answer to the ones place because the cost is represented through cents.

Hope this helps!

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