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)

To build the diagram for the ratio of diamonds to emeralds, we first identify the quantities. Diamonds have a quantity of 3 and emeralds have a quantity of 4. We can represent the ratio using a tape diagram or a box - diagram. Each "1" block can represent a unit. We need to have 3 blocks for diamonds and 4 blocks for emeralds. So, the top dropdown (the label for the whole ratio) can be something like "Ratio of Diamonds to Emeralds", the left dropdown (for diamonds) should have 3 units (by dragging 3 "1" blocks) and the right dropdown (for emeralds) should have 4 units (by dragging 4 "1" blocks). But since we are using the given "1" blocks, we can think of the ratio \(3:4\). So the diagram should have 3 parts for diamonds and 4 parts for emeralds.

Part (b)

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 the ratio is \(3:4\).

Answer:

(a) (The diagram should have 3 units for diamonds and 4 units for emeralds. For example, if using the given "1" blocks, drag 3 "1" blocks for diamonds and 4 "1" blocks for emeralds. The top label can be "Diamonds to Emeralds", left (diamonds) has 3, right (emeralds) has 4)
(b) \(3:4\)