The school band sold T-shirts to raise money for an upcoming trip. It sold 120 shirts, which was 30% of the total sales on Sunday. How many T-shirts did the band sell in all? Select the%C2%A0two true statements.(2 points) Responses The band sold 150 shirts. The band sold 150 shirts. The total sales will be less than 120 shirts. The total sales will be less than 120 shirts. The total sales will be greater than 120 shirts. The total sales will be greater than 120 shirts. The band sold 400 shirts. The band sold 400 shirts.

1 answer

To determine the total number of T-shirts sold, we know that the band sold 120 shirts, which represents 30% of the total sales.

Let \( x \) be the total sales. According to the information given:

\[ 0.30x = 120 \]

To find \( x \), we can rearrange the equation:

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

So, the total sales were 400 shirts.

Now let's evaluate the statements provided:

  1. The band sold 150 shirts.

    • This is false. The band sold 120 shirts.
  2. The total sales will be less than 120 shirts.

    • This is false. The total sales were 400 shirts.
  3. The total sales will be greater than 120 shirts.

    • This is true. The total sales were 400 shirts, which is greater than 120.
  4. The band sold 400 shirts.

    • This is false. The band sold 120 shirts, not 400.

The two true statements are:

  • The total sales will be greater than 120 shirts.