The school band sold T-shirts to raise money for an upcoming trip. It sold 120 shirts, which was 30 percent of the total sales on Sunday. How many T-shirts did the band sell in all? Check all that apply.

Question

The total sales will be greater than 120 shirts.
The total sales will be less than 120 shirts.
(30)(4) = 120, so 100(4) = 400 is the number of T-shirts sold.
120 divided by 30 = 4, so 120(4) = 480 is the number of T-shirts sold.
The band sold 400 total T-shirts.
The band sold 150 total T-shirts.

Answer 1

To find the total number of T-shirts sold by the school band, we can set up the equation based on the information that 120 shirts represent 30% of the total sales.

Let \( x \) be the total number of T-shirts sold. According to the problem:

\[ 0.30x = 120 \]

To find \( x \), we can divide both sides by 0.30:

\[ x = \frac{120}{0.30} = 400 \]

So, the total number of T-shirts sold is 400.

Now let's evaluate the provided statements:

1. The total sales will be greater than 120 shirts.

   • True (since the total is 400 shirts, which is greater than 120).

2. The total sales will be less than 120 shirts.

   • False (the total is 400 shirts).

3. (30)(4) = 120, so 100(4) = 400 is the number of T-shirts sold.

   • True (this is a correct method of determining the total sales).

4. 120 divided by 30 = 4, so 120(4) = 480 is the number of T-shirts sold.

   • False (this statement contains a miscalculation; dividing 120 by 0.30 gives the total as 400, not participating in multiplying 120 by 4).

5. The band sold 400 total T-shirts.

   • True (this matches our calculation).

6. The band sold 150 total T-shirts.

   • False (the total is 400 shirts).

Based on the analysis, the correct statements are:

• The total sales will be greater than 120 shirts.
• (30)(4) = 120, so 100(4) = 400 is the number of T-shirts sold.
• The band sold 400 total T-shirts.