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 500 shirts.
The band sold 500 shirts.

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

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

The total sales will be less than 150 shirts.

Answer 1

To find the total number of T-shirts the band sold, we can set up a proportion based on the information given:

• The band sold 150 shirts, which is 30% of the total sales.

Let \( x \) be the total number of shirts sold. We can express this relationship mathematically as:

\[ 0.30x = 150 \]

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

\[ x = \frac{150}{0.30} = 500 \]

So, the total number of T-shirts sold by the band is 500.

Now, reviewing the statements:

1. The band sold 500 shirts. (True, this is the total number calculated)
2. The total sales will be greater than 150 shirts. (True, since the total is 500, which is greater than 150)
3. The band sold 180 shirts. (False, the number is 500)
4. The total sales will be less than 150 shirts. (False, as the total is 500)

The two true statements are:

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