Chapter 2.1, Problem 7STP

A high school marching band has 55 male members. It is determined that fiveeighths of the band members are male.

a. What equation represents the total number of members in the band?

b. How many members are in the band?

To determine

To find: We are asked to find the equation to find total members.

Answer to Problem 7STP

  $\frac{5}{8}x=55$

Explanation of Solution

Given information:There are 55 male members. The 5/8^th of the members are male.

It is given 5/8^th of the total members are males. And there are 55 males.

Let’s assign the total members in the band as ‘ x’

So, we can set up equation as $\frac{5}{8}x=55$

To determine

To find: The total members by solving the equation.

Answer to Problem 7STP

88 members.

Explanation of Solution

Given: $\frac{5}{8}x=55$

We can solve it for x.

Multiply both sides by 8/5

So, $x=88$ members