Question

a jeweler put these gemstones out on display today.
(a) build a diagram to show the ratio of diamonds to emeralds.
(b) write the ratio of diamonds to emeralds.
gemstone | quantity
rubies | 5
emeralds | 4
diamonds | 3

Explanation:

Step1: Identify quantities

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

Step2: Determine ratio

Ratio of diamonds to emeralds is diamonds : emeralds = 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 (part a), we can use a tape diagram where each "1" block represents a unit. So for diamonds, we have 3 blocks, for emeralds 4 blocks. But the drag - and - drop part would involve selecting the number of blocks. However, for part (b), the ratio is 3:4.

Answer:

(b) The ratio of diamonds to emeralds is $\boldsymbol{3:4}$.

(For part (a), in the drag - and - drop interface, you would select to have 3 blocks for diamonds and 4 blocks for emeralds. The top dropdown could be something like "Tape Diagram" and then the two lower dropdowns would have 3 and 4 respectively, but since it's a drag - and - drop, the key is to represent 3 diamonds and 4 emeralds in the ratio diagram.)