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?
Step 1: Martin should have written his ratio as StartFraction 1200 Over question mark EndFraction.
Step 2: Martin should have divided 1200 by 8.
Step 3: Martin should have added 1200 and 150.
Martin did not make any mistakes.
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150/100 * ? = 1200
The correct answer is: Martin made a mistake in Step 1. He should have written the ratio as StartFraction 1200 Over question mark EndFraction instead of StartFraction part Over whole EndFraction.
In Step 1, Martin incorrectly set up the ratio as StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction = StartFraction question mark Over 1200 EndFraction. This implies that the part is unknown and the whole is 1200, which is not the case in the given problem.
To correctly solve the problem, Martin should have set up the ratio as StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction = StartFraction 1200 Over question mark EndFraction. This way, he would be solving for the unknown number of tickets given away last week.