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60% of the 50 students in Jessie’s gym class are 12 years old. How many students in Jessie’s class are 12 years old?

A tape diagram. There are 60 students out of 100 that are 12 years old. There are question mark students out of 50 that are 12 years old.

What steps should you use to find 60% of 50? Check all that apply.
100 ÷ 20 = 50
100 ÷ 2 = 50
60 ÷ 2 = the number of students who are 12 years old.
60 ÷ 20 = 3 students
60 ÷ 2 = 30 students
30 of the 50 students are 12 years old.

1 answer

To find 60% of 50, we can follow these steps:

  1. Convert the percentage to a decimal: 60% as a decimal is 0.60.

  2. Multiply the decimal by the total number of students: \[ 0.60 \times 50 = 30 \]

So, there are 30 students who are 12 years old.

Now, let's review the steps listed to see which are appropriate for finding 60% of 50:

  • 100 ÷ 20 = 50: This is not a step to find 60% of 50.
  • 100 ÷ 2 = 50: This is also not related to finding 60% of 50.
  • 60 ÷ 2 = the number of students who are 12 years old: This doesn't directly help us find 60% of 50.
  • 60 ÷ 20 = 3 students: This is misleading. 60 students out of 100 doesn't help in finding what 60% of 50 is.
  • 60 ÷ 2 = 30 students: This could work to derive that half of 60 is 30, but it's indirect; we are looking specifically for 60% not just half.
  • 30 of the 50 students are 12 years old: This is the conclusion we arrive at.

In summary, the most relevant and correct method to find out 60% of 50 is:

  • Convert 60% to decimal (0.60), and multiply by 50. Thus, 30 of the 50 students are 12 years old is the correct statement/conclusion.