The school band sold T-shirts to raise money for an upcoming trip. It sold 150 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.

Question

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(2 points)
Responses

The band sold 180 shirts.
The band sold 180 shirts.

The total sales will be less than 150 shirts.
The total sales will be less than 150 shirts.

The band sold 500 shirts.
The band sold 500 shirts.

The total sales will be greater than 150 shirts.

Answer 1

To determine the total number of T-shirts sold by the band, we can use the information that 150 shirts were sold, which constitutes 30% of the total sales.

Let \( x \) be the total number of shirts sold.

According to the information: \[ 0.30x = 150 \]

To find \( x \), we can solve for it by dividing both sides by 0.30: \[ x = \frac{150}{0.30} = 500 \]

This means the total number of T-shirts sold by the band is 500.

Now let's evaluate the statements:

1. The band sold 180 shirts. - False (they sold 500 shirts).
2. The total sales will be less than 150 shirts. - False (the total is 500 shirts).
3. The band sold 500 shirts. - True (as calculated).
4. The total sales will be greater than 150 shirts. - True (the total is 500 shirts).

So, the two true statements are:

• The band sold 500 shirts.
• The total sales will be greater than 150 shirts.