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anonymous

  • one year ago

PLEASE HELP! A geometry class has a total of 39 students. The number of males is 13 more than the number of females. How many males and how many females are in the class?

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  1. anonymous
    • one year ago
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    first, we need to define any variables

  2. anonymous
    • one year ago
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    In a time crunch!!

  3. anonymous
    • one year ago
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    please help

  4. anonymous
    • one year ago
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    let x represent the number of males let y represent the number of females

  5. anonymous
    • one year ago
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    what is the condition they have set for us? 'there are 13 more males than there are females' right?

  6. anonymous
    • one year ago
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    yep

  7. anonymous
    • one year ago
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    hence x=13+y right? can you see this?

  8. anonymous
    • one year ago
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    yes

  9. anonymous
    • one year ago
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    so in total x+ y = 39 and we know x interns of y right? x=13+y so sub this into the equation (13+y)+y=39 13+2y=39 can you solve this now?

  10. anonymous
    • one year ago
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    y=13 x=26

  11. anonymous
    • one year ago
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    thank you so much!!

  12. anonymous
    • one year ago
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    i have another one

  13. anonymous
    • one year ago
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    no problem, fan and medal if you please

  14. anonymous
    • one year ago
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    The sum of two numbers is 49 and the difference is 9 . What are the numbers?

  15. anonymous
    • one year ago
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    we have two sets of equations. what does sum mean? and what does difference mean?

  16. anonymous
    • one year ago
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    sum implies + addition difference implies - subtraction, right?

  17. anonymous
    • one year ago
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    yes

  18. anonymous
    • one year ago
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    so if we have a number called x and a different number called y then x+y=49 and x-y=9

  19. anonymous
    • one year ago
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    yep

  20. anonymous
    • one year ago
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    can you solve these simultaneously now?

  21. anonymous
    • one year ago
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    uh

  22. anonymous
    • one year ago
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    x=9+y right, just re-arrange the second equation. then sub this equation into the first equation. (9+y)+y=49 2y=40 y=20

  23. anonymous
    • one year ago
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    hence, x=29

  24. anonymous
    • one year ago
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    At a hockey game, a vender sold a combined total of 183 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

  25. anonymous
    • one year ago
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    x+y=183 let x be soda y=hotdogs x=2y so 2y+y=183 3y=183 y=61, x=122

  26. anonymous
    • one year ago
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    the pattern is all similar, try this on your own now

  27. anonymous
    • one year ago
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    so number of hotdogs would be 61

  28. anonymous
    • one year ago
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    yep

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