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 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 total sales will be greater than 150 shirts.

Answer 1

To determine the total number of T-shirts sold, we can use the information given:

The band sold 150 shirts, which represented 30% of the total sales. We can set up the equation:

\[ 0.30 \times \text{Total Sales} = 150 \]

To find the total sales (let's call it \( x \)), we can rearrange the equation:

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

Calculating:

\[ x = 150 \div 0.30 = 150 \times \frac{100}{30} = 150 \times \frac{10}{3} = 500 \]

So, the total number of shirts sold is 500.

Now, let's evaluate the provided statements:

1. The band sold 500 shirts. (This is true, since this is the total sales.)
2. The band sold 180 shirts. (This is false; the band sold 150 shirts.)
3. The total sales will be less than 150 shirts. (This is false; the total sales are 500 shirts.)
4. The total sales will be greater than 150 shirts. (This is true; the total sales are 500 shirts, which is greater than 150.)

The two true statements are:

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