Question

a jeweler put these gemstones out on display today.

gemstone | quantity
--- | ---
rubies | 5
emeralds | 4
diamonds | 3

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

choose one dropdown
|
v
11 (with arrows to drag) drag to build the diagram.
choose one dropdown | choose one dropdown

(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, we can have 3 units for diamonds and 4 units for emeralds. But for the diagram building (a), we can use a tape diagram where each part represents 1. So the top part (diamonds) has 3 segments, bottom left (diamonds) and bottom right (emeralds) with 3 and 4? Wait, no, the ratio is diamonds:emeralds = 3:4. So the diagram should show 3 for diamonds and 4 for emeralds. For part (b), the ratio is 3:4.

Answer:

(a) The diagram should have a top section labeled (or representing) diamonds with 3 units and emeralds with 4 units (using the drag - and - drop to create 3 segments for diamonds and 4 for emeralds). (b) The ratio of diamonds to emeralds is $\boldsymbol{3:4}$.