The table shows the number of marbles students sent to class for mathematics.number of marbles=1,2,3,4,5,6 number of students=4,5,-,9-,2.fx=-,-,42,-,30,12. A copy and complete the table. Bi How many students were in the class.ii how many marbles were brought altogether
To complete the table and find the missing values, we need to use the given information and patterns.
Given information:
- Number of marbles: 1, 2, 3, 4, 5, 6
- Number of students: 4, 5, -, 9, -, 2
- fx: -, -, 42, -, 30, 12
Let's fill in the missing values step by step:
For the missing number of students:
1. Look for patterns or relationships in the known values.
2. The pattern in the number of students column appears to be increasing by 1 each time, except for the missing value.
3. To find the missing value, we can continue the pattern after the missing value by adding 1 to the previous value. So, the missing value should be 6.
Now, let's complete the table:
Number of marbles: 1, 2, 3, 4, 5, 6
Number of students: 4, 5, 6, 9, 6, 2
fx: -, -, 42, -, 30, 12
For the missing values in fx:
1. Look for patterns or relationships in the known values.
2. Since the fx values are not explicitly mentioned, we need to find a pattern based on other available information.
3. We can observe that the fx values are multiples of the number of marbles, except for the missing values.
4. Calculate the missing fx values by multiplying the number of marbles by the number of students for each corresponding row.
- For the missing fx value in Row 1 (number of marbles = 2, number of students = 4), we can multiply 2 by 4 to get 8.
- For the missing fx value in Row 4 (number of marbles = 5, number of students = 9), we can multiply 5 by 9 to get 45.
Now, the complete table should look like this:
Number of marbles: 1, 2, 3, 4, 5, 6
Number of students: 4, 5, 6, 9, 6, 2
fx: 4, 8, 42, 36, 45, 12
Now, we can answer the questions based on the completed table:
i) How many students were in the class?
There were 6 students in the class.
ii) How many marbles were brought altogether?
To find the total number of marbles brought altogether, we need to add up the values in the "Number of marbles" column.
1 + 2 + 3 + 4 + 5 + 6 = 21
Therefore, 21 marbles were brought altogether.