anonymous
  • anonymous
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?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
first, we need to define any variables
anonymous
  • anonymous
In a time crunch!!
anonymous
  • anonymous
please help

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anonymous
  • anonymous
let x represent the number of males let y represent the number of females
anonymous
  • anonymous
what is the condition they have set for us? 'there are 13 more males than there are females' right?
anonymous
  • anonymous
yep
anonymous
  • anonymous
hence x=13+y right? can you see this?
anonymous
  • anonymous
yes
anonymous
  • anonymous
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?
anonymous
  • anonymous
y=13 x=26
anonymous
  • anonymous
thank you so much!!
anonymous
  • anonymous
i have another one
anonymous
  • anonymous
no problem, fan and medal if you please
anonymous
  • anonymous
The sum of two numbers is 49 and the difference is 9 . What are the numbers?
anonymous
  • anonymous
we have two sets of equations. what does sum mean? and what does difference mean?
anonymous
  • anonymous
sum implies + addition difference implies - subtraction, right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
so if we have a number called x and a different number called y then x+y=49 and x-y=9
anonymous
  • anonymous
yep
anonymous
  • anonymous
can you solve these simultaneously now?
anonymous
  • anonymous
uh
anonymous
  • anonymous
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
anonymous
  • anonymous
hence, x=29
anonymous
  • anonymous
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.
anonymous
  • anonymous
x+y=183 let x be soda y=hotdogs x=2y so 2y+y=183 3y=183 y=61, x=122
anonymous
  • anonymous
the pattern is all similar, try this on your own now
anonymous
  • anonymous
so number of hotdogs would be 61
anonymous
  • anonymous
yep

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