a jeweler put these gemstones out on display today. (a) build a diagram to show the ratio of diamonds to…

Explanation:

Step1: Identify quantities

The number of diamonds is 3 and the number of emeralds is 4.

Step2: Build ratio diagram

For the diagram - one part represents diamonds and the other part represents emeralds. We can represent diamonds with 3 equal - sized squares (or any shape) and emeralds with 4 equal - sized squares.

Step3: Write the ratio

The ratio of diamonds to emeralds is written as the number of diamonds : the number of emeralds, which is 3:4.

Answer:

(a) Diagram: Represent diamonds with 3 equal - sized shapes and emeralds with 4 equal - sized shapes. (b) 3:4