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Ocyanic

Answer:

the ratio between the cost of a pencil and that of a pen is \( \frac{6}{7} \).

Step-by-step explanation:

To find the ratio between the cost of a pencil and that of a pen, we need to ensure that both costs are expressed in the same units.

Given:

1. Pencils cost $24 per score (1 score = 20 pencils).

2. Pens cost $16.80 per dozen (1 dozen = 12 pens).

Let's first calculate the cost of 1 pencil and 1 pen:

1. Cost of 1 pencil = $24 / 20 = $1.20

2. Cost of 1 pen = $16.80 / 12 = $1.40

Now, we can find the ratio of the cost of a pencil to the cost of a pen:

\[ \text{Ratio} = \frac{\text{Cost of a pencil}}{\text{Cost of a pen}} = \frac{1.20}{1.40} \]

\[ \text{Ratio} = \frac{6}{7} \]

So, the ratio between the cost of a pencil and that of a pen is \( \frac{6}{7} \).

MoeezKhan

Answer:

The ratio between the cost of a pencil and that of a pen is 6:7.

Step-by-step explanation:

To find the ratio between the cost of a pencil and that of a pen, we need to compare the costs of the two items.

Given:

The cost of a pencil is $24 per score.

The cost of a pen is $16.80 per dozen.

To compare these costs, we need to have the same unit of measurement. Let's convert the cost of the pencil to the same unit as the pen, which is the cost per dozen.

1 score = 20 pencils (since a score is 20 units)

1 dozen = 12 pens (since a dozen is 12 units)

Now, let's calculate the cost per dozen for the pencil:

Cost of 20 pencils (1 score) = $24

Cost of 1 pencil = $24 / 20 = $1.20

Cost of 12 pencils (1 dozen) = $1.20 * 12 = $14.40 (cost per dozen)

Now, let's calculate the ratio between the cost of a pencil and that of a pen:

Cost of a pencil: Cost of a pen

= $14.40: $16.80

To simplify the ratio, we can divide both costs by their common factor (2.40):

= $14.40 / $2.40: $16.80 / $2.40

= 6: 7

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