Question

In the ratio table below, what are the missing values?

Number of Pies Total Number of Cakes
5 8
10 16
? ?

18 and 24

20 and 33

15 and 21

15 and 24

Answer 1

To determine the missing values in the ratio table, we need to find the ratio of the number of pies to the total number of cakes based on the provided pairs.

From the first row:
- Number of Pies: 5
- Total Number of Cakes: 8

We can express the ratio of pies to cakes as:
\[
\frac{5}{8}
\]

Now, let's check the other given pairs to see which pair maintains this same ratio.

1. For the pair 18 and 24:
\[
\frac{18}{24} = \frac{3}{4}
\]
This is not equivalent to \(\frac{5}{8}\).

2. For the pair 20 and 33:
\[
\frac{20}{33} \text{ (This ratio can’t be simplified to }\frac{5}{8}\text{)}
\]

3. For the pair 15 and 21:
\[
\frac{15}{21} = \frac{5}{7}
\]
This is also not equivalent to \(\frac{5}{8}\).

4. For the pair 15 and 24:
\[
\frac{15}{24} = \frac{5}{8}
\]
This maintains the same ratio as \(\frac{5}{8}\).

Based on this, the correct answer for the missing values is:
**15 and 24**.