Question

Ary is writing thank you cards to everyone who came to her wedding. It takes her of an hour to write one thank you card. If it took her 8 hours to finish writing all of the cards, how many thank you cards did she write?

Answer 1

Ary wrote 24 thank you cards for her wedding, calculated by dividing the total time spent (8 hours) by the time it takes to write one card (⅓ of an hour).

Step-by-step explanation:

If Ary takes ⅓ of an hour to write one thank you card and it took her 8 hours to finish all the cards, we need to find out how many ⅓ hour increments fit into 8 hours to determine the number of thank you cards she wrote. To do this, we divide the total time spent, which is 8 hours, by the time taken to write one card, which is ⅓ of an hour.

Let's break down the calculation step by step:

1. First, convert ⅓ of an hour to minutes to better understand the time increment. Since there are 60 minutes in an hour, ⅓ of an hour is equals to 60 minutes divided by 3, which gives us 20 minutes per card.
2. Next, convert 8 hours to minutes. 8 hours is equals to 8 multiplied by 60 minutes, which results in 480 minutes.
3. Finally, divide the total minutes Ary spent writing cards by the minutes taken to write one card. This is 480 minutes divided by 20 minutes per card, which equals 24 cards.

Therefore, Ary wrote 24 thank you cards.

Answer 2

From the question, It takes Ary an hour to write one thank you card.

So, the rate at which she writes the thank you card is;

`\text{Rate R}=1\text{ card/hour}`

To determine the number N of thank you card she would write in 8 hours.

`N=R* T`

Where;

R is the rate = 1 card/hour

T is the time taken = 8 hours

Substituting the values we have;

`\begin{gathered} N=1\text{ card/hour}*8\text{ hours} \\ N=8\text{ cards} \end{gathered}`

The number of thank you cards she write is 8 cards