Question 1

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 per shirt to earn the remaining money.
Part A
Complete the inequality to represent the minimum number of shirts, n, the band must sell to earn the remaining money.
Drag tiles to the empty boxes to complete the inequality correctly.
Put responses in the correct input to answer the question.
7[blank]N [blank] 700 [blank] 1,150
≤ − ÷ < > ≥ + ⋅
Question 2
Part B
What is the minimum number of shirts the band must sell to earn the remaining money?
Enter your answer in the box.
shirts
you can only use each option once

Answer 1

To complete the inequality in Part A:

The band needs at least $1,150 for expenses and they have already saved $700. Therefore, the remaining amount they need to earn is:

$$ 1,150 - 700 = 450 $$

Let \( n \) be the number of shirts that need to be sold, with each shirt bringing in $7 in profit. The inequality can thus be set up as follows:

$$ 7n \geq 450 $$

Now placing the correct tiles in the blanks:

7 n ≥ 700 + 1,150

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For Part B, to find the minimum number of shirts, we solve the inequality:

$$ 7n \geq 450 $$

Dividing both sides by 7:

$$ n \geq \frac{450}{7} $$

Calculating \( \frac{450}{7} \):

$$ \frac{450}{7} \approx 64.2857 $$

Since they need to sell a whole number of shirts, they must sell at least 65 shirts.

So, the answer for Part B is:

65 shirts.