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)

Question

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.

Answer 1

To determine the total number of T-shirts sold by the band, we can set up the problem using the information given.

We know that 120 shirts represent 30% of the total sales. To find the total sales (let's call it \( x \)), we use the equation:

\[ 0.30x = 120 \]

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

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

Calculating that gives:

\[ x = 400 \]

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

Now let's evaluate the two true statements from your options:

1. "The band sold 150 shirts." - This is false.
2. "The total sales will be less than 120 shirts." - This is false.
3. "The total sales will be greater than 120 shirts." - This is true.
4. "The band sold 400 shirts." - This is true.

The two true statements are:

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