Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.

Each key on the student calculators is 15 millimeters wide, and each key on the demonstration calculator is 3 centimeters wide. If the student calculators are 246 millimeters tall, how tall is the demonstration calculator?

1 answer

First, we need to find out how many keys are in the height of the student calculator.

246 mm / 15 mm = 16.4 keys

Since we can't have a fraction of a key, we round down to 16 keys.

Now we can find the total height of the student calculator:

16 keys * 15 mm = 240 mm

Next, we need to find out the height of the demonstration calculator using the ratio of key sizes.

3 cm is equivalent to 30 mm, so the demonstration calculator's key width is 30 mm.

240 mm / 15 mm = 16 keys

16 keys * 30 mm = 480 mm

Therefore, the demonstration calculator is 480 mm tall.
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