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Math Help - Help with percentage problem please!

  1. #1
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    Help with percentage problem please!

    I need a little help with the following problem.

    Student A is attending a study course for 12 weeks in total.
    He has just finished 10 of the 12 weeks.
    His attendance after 10 weeks is at 70%.
    If he goes to all his classes for the remaining 2 weeks, what will his attendance be at the end of the course?

    I'm unsure how to calculate this.
    Thanks!
    Punky.
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  2. #2
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    Quote Originally Posted by punky View Post
    I need a little help with the following problem.

    Student A is attending a study course for 12 weeks in total.
    He has just finished 10 of the 12 weeks.
    His attendance after 10 weeks is at 70%.
    If he goes to all his classes for the remaining 2 weeks, what will his attendance be at the end of the course?

    I'm unsure how to calculate this.
    Thanks!
    Punky.
    Hi punky,

    70% of 10 weeks is 7 weeks.

    \frac{70}{100}10=\frac{10}{100}70=\frac{70}{10}=7

    If he attends all of the remaining 2 weeks, then he will have attended 7+2 = 9 out of 10+2=12 weeks.

    9 out of 12 is \frac{9}{12}100\%=\frac{900}{12}\%=75\%

    To change a fraction to a percentage, multiply by 100.
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  3. #3
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    Quote Originally Posted by punky View Post
    I need a little help with the following problem.

    Student A is attending a study course for 12 weeks in total.
    He has just finished 10 of the 12 weeks.
    His attendance after 10 weeks is at 70%.
    If he goes to all his classes for the remaining 2 weeks, what will his attendance be at the end of the course?

    I'm unsure how to calculate this.
    Thanks!
    Punky.
    Let us assume that the course has x hours per week. Then A should have attended 10x hours in 10 weeks. Actually he has only taken part at 70% of 10 x h, that means he has taken part at 7x hours.

    He now attends the remaining 2x hours and at the end of the course he has attended 7x + 2x = 9x hours of 12x possible hours. That's a percentage of 75%.
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