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?

Question

contestada

Respuesta :

DemariaI235656 DemariaI235656 · Answer 1 · 2022-10-30T14:32:16+01:00

Let the number of shirts be x.

The cost of x shirts is $7x.

Determine the inequality for the minimum number of shirts.

[tex]7x+700\ge1150[/tex]

(B)

Simplify the inequality to obtain the minimum number of shirts.

[tex]\begin{gathered} 7x+700-700\ge1150-700 \\ 7x\ge450 \\ \frac{7x}{7}\ge\frac{450}{7} \\ x\ge64.28 \end{gathered}[/tex]

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.