anonymous
  • anonymous
Word Problem. An inheritance of $800,000 is to be divided among Avery, Connor and Olivia in the following matter: Olivia is to recieve 3/4 of what Connor gets, while Avery gets 1/4 of what Connor gets. How much does each recieves? Show me steps by steps please
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
okay if you don't mind can i say 800 instead of 800 000 just for simplicity sake ? we can add it on after?
anonymous
  • anonymous
i'm not here to DO your homework if you want help, you'll have to work through it with me
anonymous
  • anonymous
okay I work with you.

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More answers

anonymous
  • anonymous
okay so at first we're going to solve for just one of the siblings, in terms of one variable. Looks like the easiest will be Connor so we will let Connor = C
anonymous
  • anonymous
O for Olivia
anonymous
  • anonymous
so if Olivia gets (3/4) of what Connor gets then we know that Olvia = (3/4)*C
anonymous
  • anonymous
so knowing that what does Avery get? in terms of C
anonymous
  • anonymous
uh huh. Avery get 1/4 of what Connor get
anonymous
  • anonymous
right, so.... that looks like (1/4)*C..... right?
anonymous
  • anonymous
right
anonymous
  • anonymous
okay so now the amount each sibling gets is in terms of Connor or C. so the sum of all of their values will be the inheritance right?
anonymous
  • anonymous
Can you come up with an equation for me?
anonymous
  • anonymous
so you said 1/4+3/4+x=800,000
anonymous
  • anonymous
almost! except you can't forget to keep the x's tagged on the terms. I suggest we keep doing it in terms of C, since it will be clearer, there's no need to switch to x now.
anonymous
  • anonymous
so: (1/4)C+(3/4)C+C=800,000
anonymous
  • anonymous
ok. so you add up the fraction right?
anonymous
  • anonymous
right and you will see right away it will simplify nicely!
anonymous
  • anonymous
that meant that 4/4 is equal 1 then you subtract 1 from 800,000 right?
anonymous
  • anonymous
you keep forgetting the C!! but the 4/4=1 is right.. so now you have (4/4)C+C=800,000 or.. 1C+1C=800,000
anonymous
  • anonymous
so there will be no subtraction in this question
anonymous
  • anonymous
2C=800,000 then you divide by 2 right?
anonymous
  • anonymous
exactly!
anonymous
  • anonymous
the Connor get 400,000. then Olivia get 300,000 because you multiply 3/4 to 400,000. Then Avery get 100,000 because I multiply 1/4 to 400.000 right?
anonymous
  • anonymous
nailed it.
anonymous
  • anonymous
oh I get it.
anonymous
  • anonymous
I just hate word problems
anonymous
  • anonymous
you can check this by adding 400 000 + 300 000 + 100 000 = 800 000
anonymous
  • anonymous
remember that's always an important step.

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