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

- anonymous

- jamiebookeater

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- 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

i'm not here to DO your homework if you want help, you'll have to work through it with me

- anonymous

okay I work with you.

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## More answers

- 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

O for Olivia

- anonymous

so if Olivia gets (3/4) of what Connor gets then we know that
Olvia = (3/4)*C

- anonymous

so knowing that what does Avery get? in terms of C

- anonymous

uh huh. Avery get 1/4 of what Connor get

- anonymous

right, so.... that looks like (1/4)*C..... right?

- anonymous

right

- 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

Can you come up with an equation for me?

- anonymous

so you said 1/4+3/4+x=800,000

- 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

so:
(1/4)C+(3/4)C+C=800,000

- anonymous

ok.
so you add up the fraction right?

- anonymous

right and you will see right away it will simplify nicely!

- anonymous

that meant that 4/4 is equal 1 then you subtract 1 from 800,000 right?

- 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

so there will be no subtraction in this question

- anonymous

2C=800,000 then you divide by 2 right?

- anonymous

exactly!

- 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

nailed it.

- anonymous

oh I get it.

- anonymous

I just hate word problems

- anonymous

you can check this by adding 400 000 + 300 000 + 100 000 = 800 000

- anonymous

remember that's always an important step.

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