The art museum is giving away tickets to the Greco exhibit. Today, the museum expects to give away 150 percent of the 800 tickets that it gave away yesterday. Martin is trying to figure out how many tickets the museum will give away today. His work is shown below.

Question

StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction

100 times 8 = 800

150 divided by 8 = 18.75

What mistake did Martin make?
Martin should have multiplied 150 by 8.
Martin should have divided 100 by 8.
Martin should have added 150 and 800.
Martin should have multiplied 150 and 800.

Answer 1

To find out how many tickets the museum will give away today, we first need to calculate 150 percent of the 800 tickets that were given away yesterday.

150 percent can be expressed as a decimal, which is 1.5. To find 150 percent of 800, we multiply:

\[ 1.5 \times 800 = 1200 \]

Now, let's analyze Martin's work:

1. He starts with the fraction \( \frac{part}{whole} = \frac{150}{100} \) correctly, but the next steps are not leading him to the total number of tickets.
2. Martin wrote "100 times 8 = 800," but that does not contribute to the correct calculation.
3. He then incorrectly divides 150 by 8 to arrive at 18.75, which is not relevant to finding the total tickets.

The correct step would be to multiply 150 by 8 as part of calculating the total number of tickets, rather than dividing or any other operation he performed.

Thus, the correct answer is: Martin should have multiplied 150 by 8.