Question

winning spaces
non-winning spaces
the table shows the numbers of winning and total spaces that could be on
the wheel.
based on the ratio, complete the missing values in the table.
winning spaces total spaces
10
33

Explanation:

Step1: Determine the ratio

From the diagram, winning spaces (teal) are 5, non - winning (purple) are 6. So total spaces = 5 + 6 = 11. The ratio of winning spaces to total spaces is $\frac{5}{11}$.

Step2: Find total spaces for 10 winning spaces

Let total spaces be $x$. Using the ratio $\frac{10}{x}=\frac{5}{11}$. Cross - multiply: $5x = 10\times11$, $5x=110$, $x = 22$.

Step3: Find winning spaces for 33 total spaces

Let winning spaces be $y$. Using the ratio $\frac{y}{33}=\frac{5}{11}$. Cross - multiply: $11y=33\times5$, $11y = 165$, $y = 15$.

Answer:

For 10 winning spaces, total spaces is 22; for 33 total spaces, winning spaces is 15. (So the missing values are 22 and 15 respectively in the table)