At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack?

The total number of students expected to be carrying a backpack is 490 and this can be determined by using the unitary method.

Given :

At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack.700 students were at the assembly.

The following steps can be used in order to determine the total number of students expected to be carrying a backpack:

Step 1 - The unitary method can be used in order to determine the total number of students expected to be carrying a backpack.Step 2 - According to the given data, at an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. Step 3 - Let the total number of students expected to be carrying a backpack be 'x'.Step 4 - So, the value of 'x' is calculated as:

               

               

The total number of students expected to be carrying a backpack is 490.

For more information, refer to the link given below:

link

7 out of 10 were carrying a backpack...and 3 out of 10  were not
that means 7/10 of the total students had backpacks and 3/10 of the total students did not

7/10 * 700 = 4900/10 = 490 had backpacks <==
3/10 * 700 = 2100/10 = 210 did not

Equation to solve: (72+97+82+p)/4 = 82

72+97+82+p = 82*4 = 328 => p = 328-72-97-82 = 77