Question

complete the table.
total number of equal groups amount in each group
16 8
52 26
78 3
80 8

Explanation:

Step1: Find the number of groups for the first row

We know that \( \text{Total} = \text{Number of Equal Groups}\times\text{Amount in Each Group}\). So, \(\text{Number of Equal Groups}=\frac{\text{Total}}{\text{Amount in Each Group}}\). For the first row, \(\text{Total} = 16\) and \(\text{Amount in Each Group}=8\). Then \(\frac{16}{8}=2\).

Step2: Find the number of groups for the second row

Using the same formula \(\text{Number of Equal Groups}=\frac{\text{Total}}{\text{Amount in Each Group}}\). Here, \(\text{Total} = 52\) and \(\text{Amount in Each Group}=26\). So, \(\frac{52}{26}=2\).

Step3: Find the amount in each group for the third row

Using the formula \(\text{Amount in Each Group}=\frac{\text{Total}}{\text{Number of Equal Groups}}\). Given \(\text{Total} = 78\) and \(\text{Number of Equal Groups}=3\). Then \(\frac{78}{3}=26\).

Step4: Find the amount in each group for the fourth row

Using the formula \(\text{Amount in Each Group}=\frac{\text{Total}}{\text{Number of Equal Groups}}\). With \(\text{Total} = 80\) and \(\text{Number of Equal Groups}=8\). So, \(\frac{80}{8}=10\).

Answer:

The completed table has values \(2\), \(2\), \(26\), \(10\) in the respective blank cells.