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: part/whole = 150/100 = ?/1200
Step 2: 100* 12=1200
Step 3: 150* 12=1800

In what step did Martin make a mistake, if any?
a. Step 1: Martin should have written his ratio as 1200/? .
b. Step 2: Martin should have divided 1200 by 8.
c. Step 3: Martin should have added 1200 and 150.
d. Martin did not make any mistakes.

Answer 1

Martin made a mistake in Step 1, where he should have written the proportion as 'x/1200 = 100/150' to solve for the unknown number of last week's tickets. By solving the corrected proportion, we find that the museum gave away 800 tickets last week.

Step-by-step explanation:

In attempting to figure out how many tickets the museum gave away last week, Martin's calculation of percentages was correct up to the first step, but the method he used to find the number of tickets given away last week contains an error. In Step 1 he should have set up a proportion with the unknown number of tickets as follows:

Step 1 Correction

part/whole = percentage/100

The correct setup would be: x/1200 = 100/150, where 'x' represents tickets given away last week.

Step 2 Correction

With the correct proportion, the next step would be to solve for 'x': 150x = 100 * 1200, simplifying to 150x = 120000.

Step 3 Correction

The final step to find 'x' is to divide both sides of the equation by 150: x = 120000 / 150, which calculates to x = 800.

Thus, step 1 is where Martin made his mistake. He should have written his ratio as 1200/? to find the unknown number of tickets given away last week. The correct option is A. Martin should have written his ratio as 1200/?.