Question

A band wants to enter a contest that requires traveling expenses. They need at least $1,150 to cover all of the expenses. They have already saved $700 . They are selling shirts with a profit of $7.00 per shirt to earn the remaining money. Part A Create an inequality to represent the minimum number of shirts, n, the band must sell to earn the remaining money. Part B what is the minimum number of shirts the band must sell to earn the remaining money?

Answer 1

Let the number of shirts be x.

The cost of x shirts is $7x.

Determine the inequality for the minimum number of shirts.

$7x+700\ge1150$

(B)

Simplify the inequality to obtain the minimum number of shirts.

$\begin{gathered} 7x+700-700\ge1150-700 \\ 7x\ge450 \\ \frac{7x}{7}\ge\frac{450}{7} \\ x\ge64.28 \end{gathered}$

The number of shirts is always a whole number. So the possible value of x is 65.

Thus, minimum number of shirts the band must sell to earn the remaining money is 65.