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 two true statements.(2 points)

Responses

The band sold 400 shirts.
The band sold 400 shirts.

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

The band sold 150 shirts.
The band sold 150 shirts.

The total sales will be greater than 120 shirts.

1 answer

To determine the total number of T-shirts sold by the band, we can use the information given: 120 shirts were sold, which represents 30% of the total sales on Sunday.

Let the total sales be represented as \( x \).

According to the problem:

\[ 0.30x = 120 \]

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

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

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

Now, let's evaluate the statements:

  1. The band sold 400 shirts. (True)
  2. The total sales will be less than 120 shirts. (False; the total is 400)
  3. The band sold 150 shirts. (False; the total is 400)
  4. The total sales will be greater than 120 shirts. (True; the total is 400)

The two true statements are:

  1. The band sold 400 shirts.
  2. The total sales will be greater than 120 shirts.