Chapter 1.1, Problem 51E

To determine

To find the number of students in the marching band when percussion section has $6$ girls and $10$ boys.

  $ax=b-5$

Answer to Problem 51E

The total number of students in the band are $71$ .

Explanation of Solution

Given:

Percussion section has $6$ girls and $10$ boys.

Calculation:

Given:

Percussion section has $6$ girls and $10$ boys.

Let the number of girls in the marching band be $x$ and boys be $y$

Thus, the number of girls in the Percussionsection $=$$\frac{1}{6}x$

Number of boys in the Percussion section $=$$\frac{2}{7}y$

As per the given values, we have:

  $\begin{array}{l}\frac{1}{6}x=6\\ x=36\end{array}$

And

  $\begin{array}{l}\frac{2}{7}y=10\\ y=35\end{array}$

Thus, the total number of students in the band $=x+y$

Total number of students in the band $=36+35$

Thus, Total number of students in the band $=71$

Conclusion:

Hence, the total number of students in the band are $71$ .