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a jeweler put these gemstones out on display today. | gemstone | quanti…

Question

a jeweler put these gemstones out on display today.

gemstonequantity
emeralds4
diamonds3

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

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1 1
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(b) write the ratio of diamonds to emeralds.
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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. So the diagram would have a top label (maybe "Ratio") with two sections: one with 3 (diamonds) and one with 4 (emeralds), or using the given 1:1 tiles, we can scale. But for part (b), the ratio is 3:4.

Answer:

3:4