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 (blue) ── choose one dropdown
└── 1 (yellow) ── choose one dropdown

drag to build the diagram.

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

Explanation:

Part (a) Diagram Building Explanation:

To show the ratio of diamonds to emeralds, we first find the quantities: diamonds = 3, emeralds = 4. The ratio of diamonds to emeralds is \( 3:4 \). For the diagram, we can represent groups. Since the ratio is \( 3:4 \), we can think of it as 3 parts (diamonds) to 4 parts (emeralds). If we use a unit of 1 for each part in the diagram's basic block (the 1 - 1 shown), we need to scale. Wait, actually, the ratio of diamonds to emeralds is \( 3:4 \), so the diagram should have a top part (maybe a label) as "Diamonds to Emeralds", then the two sections below with 3 and 4? Wait, the interface has a dropdown for the top (maybe "Ratio of Diamonds to Emeralds"), then two boxes with arrows. Wait, maybe the first dropdown is "Diamonds : Emeralds", then the two lower dropdowns are 3 and 4? But since the user can drag, maybe the diagram is built by having the number of diamond units and emerald units. Since diamonds are 3 and emeralds are 4, the diagram would show 3 for diamonds and 4 for emeralds. But the exact diagram building (drag - and - drop) is a bit hard to describe textually, but the key is the ratio is 3:4.

Part (b) Step - by - Step:

Step 1: Identify the quantities

From the table, the quantity of diamonds is 3 and the quantity of emeralds is 4.

Step 2: Write the ratio

The ratio of diamonds to emeralds is written as the number of diamonds followed by a colon and then the number of emeralds, so it is \( 3:4 \).

Answer:

(for part b):
\( 3:4 \)

(For part a, the diagram should be set up to show the ratio of diamonds (3) to emeralds (4). So the top label could be "Diamonds to Emeralds", and the two lower sections should have 3 and 4 respectively, but since it's a drag - and - drop, the user would select the appropriate numbers. But the main ratio for part b is 3:4.)