Question

a jeweler put these gemstones out on display today.

gemstone	quantity
emeralds	4
diamonds	3

(a) build a diagram to show the ratio of diamonds to emeralds.

choose one dropdown

1

1

arrows to adjust
choose one dropdown choose one dropdown
drag to build the diagram.

(b) write the ratio of diamonds to emeralds.
:

Explanation:

Step1: Identify quantities

From the table, diamonds = 3, emeralds = 4.

Step2: Determine ratio

Ratio of diamonds to emeralds is 3:4. For the diagram, we can represent groups. Since GCD(3,4)=1, the basic unit is 1. So the top could be "Ratio", left (diamonds) has 3 units, right (emeralds) has 4 units.

Answer:

(a) Diagram: Top label "Ratio", left box (diamonds) with 3 segments, right box (emeralds) with 4 segments (using the drag - able 1 - unit blocks, we need 3 for diamonds and 4 for emeralds).
(b) The ratio of diamonds to emeralds is $\boldsymbol{3:4}$