Question

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

Answer 1

okay if you don't mind can i say 800 instead of 800 000 just for simplicity sake ? we can add it on after?

Answer 2

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

Answer 3

okay I work with you.

Answer 4

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

Answer 5

O for Olivia

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

right

Answer 11

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?

Answer 12

Can you come up with an equation for me?

Answer 13

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

Answer 14

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.

Answer 15

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

Answer 16

ok.

so you add up the fraction right?

Answer 17

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

Answer 18

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

Answer 19

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

Answer 20

so there will be no subtraction in this question

Answer 21

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

Answer 22

exactly!

Answer 23

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?

Answer 24

nailed it.

Answer 25

oh I get it.

Answer 26

I just hate word problems

Answer 27

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

Answer 28

remember that's always an important step.