Question

This week, the art museum gave away 1,200 tickets to the Greco exhibit, which was 150 percent as many tickets as it gave away last week. Martin is trying to figure out how many tickets the museum gave away last week. His work is shown below.

Step 1: StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction = StartFraction question mark Over 1200 EndFraction
Step 2: 100 times 12 = 1200
Step 3: 150 times 12 = 1800

In what step did Martin make a mistake, if any?

Answer 1

Martin's mistake was in Step 3, where he incorrectly multiplied 150 by 12 instead of dividing 1200 by 1.5. The correct number of tickets given away last week by the art museum was 800.

Step-by-step explanation:

Martin made a mistake in his calculations while trying to figure out how many tickets the museum gave away last week. The mistake occurred in Step 3 of his work. Let's walk through the correct steps:

1. He correctly sets up the proportion in Step 1, where the unknown number of tickets from last week is represented by a question mark.
2. In Step 2, he should have found that 100 times 1200 is indeed 120,000, but this step was not necessary for solving the proportion.
3. Instead, in Step 3, the correct calculation is to divide 1200 by 1.5 (which is the decimal equivalent of 150 percent) to find the number of tickets given away last week.1200 / 1.5 = 800 tickets last week.

Therefore, the art museum gave away 800 tickets last week.