Question

incorrect
your answer is incorrect.
a jeweler put these gemstones out on display today.
image of gemstones

gemstone	quantity
diamonds	3
rubies	1

(a) build a diagram to show the ratio of diamonds to all gemstones shown.
all gemstones

Explanation:

Step1: Calculate total gemstones

First, find the total number of gemstones by adding the quantities of emeralds, diamonds, and rubies. The quantity of emeralds is 4, diamonds is 3, and rubies is 1. So total gemstones = 4 + 3 + 1 = 8.

Step2: Determine the ratio of diamonds to all gemstones

The number of diamonds is 3, and the total number of gemstones is 8. So the ratio of diamonds to all gemstones is 3:8. To build a diagram (for example, a tape diagram or a circle graph), we can represent the total gemstones as 8 equal parts, and shade 3 parts to represent diamonds.

Answer:

To show the ratio of diamonds to all gemstones (3:8), we can use a tape diagram:

• Draw a rectangle (or a tape) divided into 8 equal sections (to represent all 8 gemstones).
• Shade 3 of these sections (to represent the 3 diamonds).

Or, in terms of the ratio, the ratio of diamonds to all gemstones is $\boldsymbol{3:8}$.