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)
1 1
drag to build the diagram.
(choose one) (choose one)
(b) write the ratio of diamonds to emeralds.
:

Explanation:

Part (a)

Step1: Identify quantities

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

Step2: Build ratio diagram

The ratio of diamonds to emeralds is \( 3:4 \). So the diagram should represent 3 parts for diamonds and 4 parts for emeralds. (Since it's a drag - and - drop, we can think of the top box as "Ratio of Diamonds to Emeralds", the left bottom box as "Diamonds" with 3 units (maybe 3 of the 1 - unit blocks) and the right bottom box as "Emeralds" with 4 units (4 of the 1 - unit blocks). But in terms of the structure, the top dropdown can be labeled "Diamonds to Emeralds", left dropdown (for diamonds) has 3, right dropdown (for emeralds) has 4.

Part (b)

Step1: Recall the quantities

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

Step2: 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):
\( 3:4 \)