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
c

Answer 1

To solve the problem step by step:

Part A

1. The total amount needed is $1,150.
2. The band has saved $700.
3. The remaining amount they need is: \[ 1,150 - 700 = 450 \]
4. The profit per shirt is $7.
5. Let \( n \) be the number of shirts they need to sell. The inequality to represent the remaining money they need to earn is: \[ 7n \geq 450 \]

Therefore, completing the inequality:

• \( 7[≥]n [≥] 700 [ + ] 1,150 \)

Part B

To find the minimum number of shirts they must sell:

1. Start with the inequality: \[ 7n \geq 450 \]
2. Divide both sides by 7: \[ n \geq \frac{450}{7} \approx 64.29 \]
3. Since they cannot sell a fraction of a shirt, round up to the next whole number: \[ n = 65 \]

Conclusion

• Part A: \( 7n \geq 450 \)
• Part B: The minimum number of shirts the band must sell is 65 shirts.