Question

There are 12 girls on the team. One quarter of the team are boys. How many students are on the track team?

Answer 1

Answer: 16 students

Step-by-step explanation: First we assume that the number of student on the track team is T.

Since there are 12 girls and one quarter are boys, the number of boys will be

`(1)/(4) of total number of students on the team T.` =
`(T)/(4)`

Now the number of girls plus the number of boys should be equal to the number of the students on the track team T.

12 +
`(T)/(4)` = T.........................................1

From here we can solve for T.

Multiply both sides of the equation 1 by 4. We are using 4 because it is the only denominator we have in the equation.

12 x 4 +
`(T)/(4)` x4 = T x 4

48 + T = 4T

48 = 4T - T = 3T

divide both sides of the equation by 3

T =
`(48)/(3) = 16`

Therefore, the number of students on the track team is 16 students.

Answer 2

Explanation:

If 1/4 are boys then the 12 girls must be 3/4

then the whole team is 16 members