Question

Mr. Sirko is 4/3 times as tall as his grandson Dylan. a) Find the ratio of Mr. Sirko's height to Dylan's height. b) If Mr. Sirko is 184 cm tall, how tall is Dylan?

Answer 1

The ratio of Mr. Sirko's height to Dylan's is 4:3. If Mr. Sirko is 184 cm tall, we calculate Dylan's height to be 138 cm tall by setting up a proportional equation.

Step-by-step explanation:

Mr. Sirko is 4/3 times as tall as his grandson Dylan.

Ratio of Heights

(a) The ratio of Mr. Sirko's height to Dylan's height is 4:3.

Finding Dylan's Height

(b) To find out how tall Dylan is, you can set up the equation: Mr. Sirko's height = (4/3) × Dylan's height. Since we know Mr. Sirko is 184 cm tall, if we let Dylan's height be represented as x, then by substituting we get: 184 = (4/3)x. Solving for x, Dylan's height is: x = 184 × (3/4), x = 138 cm. Therefore, Dylan is 138 cm tall.