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15 May, 04:13

The number of students in Mrs. Patrick's piano class decreased by 15% in 2 years to 17 students. How many students did she have 2 years ago?

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  1. 15 May, 04:51
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    20 students

    Step-by-step explanation:

    If the class decreased by 15%, the students that she has now (17) represents a percentaje of:

    100% - 15% = 85%

    so the 17 students are 85% of what she had:

    Students Percentage

    17 ⇒ 85%

    and we are looking for how many students she had 2 years ago, thus we are looking for the 100% of students (the original number of studens). If we represent this number by x:

    Students Percentage

    17 ⇒ 85%

    x ⇒ 100%

    and we solve this problem using the rule of three: multiply the cross quantities on the table (17 and 100) and then divide by the remaining amount (85):

    x = 17*100/85

    x = 1700/85

    x=20

    2 years ago she had 20 students
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