Question

If 1 inch = 25 mm = 6 pica and 1 pica = 12 points = 16 pixels, what is 6 points + 2 inches + 3 picas + 8 pixels + 25 mm, represented in pixels?

Hint:

For unit conversion problems, it's best to first convert all given relationships into factors that lead to the target unit. This organizes your work and prevents calculation errors.

Answer 1

Correct Answer: 352

Step 1: Understanding the Question:
The goal is to convert a sum of measurements in different units (points, inches, picas, pixels, mm) into a single unit, pixels, using the given conversion factors.
Step 2: Key Formula or Approach:
We need to establish conversion factors for each unit to pixels.

Pica to Pixels: 1 pica = 16 pixels (Given)
Points to Pixels: 1 pica = 12 points, so 12 points = 16 pixels. This means 1 point = \( \frac{16}{12} = \frac{4}{3} \) pixels.
Inches to Pixels: 1 inch = 6 pica, and 1 pica = 16 pixels. So, 1 inch = \( 6 \times 16 = 96 \) pixels.
mm to Pixels: 25 mm = 1 inch, and 1 inch = 96 pixels. So, 25 mm = 96 pixels. Step 3: Detailed Explanation:
Now, we convert each term in the expression to pixels:

6 points:
\[ 6 \text{ points} \times \frac{4}{3} \frac{\text{pixels}}{\text{point}} = 8 \text{ pixels} \]
2 inches:
\[ 2 \text{ inches} \times 96 \frac{\text{pixels}}{\text{inch}} = 192 \text{ pixels} \]
3 picas:
\[ 3 \text{ picas} \times 16 \frac{\text{pixels}}{\text{pica}} = 48 \text{ pixels} \]
8 pixels:
This is already in pixels, so it is 8 pixels.
25 mm:
From our conversion factors, 25 mm = 96 pixels. Step 4: Final Answer:
Finally, we add up all the values in pixels:
\[ \text{Total} = 8 + 192 + 48 + 8 + 96 = 352 \text{ pixels} \] The total value represented in pixels is 352.