another word problem help please?

Question

your father has a stock that is listed for $60 a share and your aunt has one that is valued at $124 a share. each week your father's stock goes up $6 and your aunt's stock goes down $10. how long will it be before your father's stock has the same value as your aunt's ?

Answer 1

6w+60=124-10w
16w=64
w=4

4weeks

Answer 2

Everyone seems to hate word problems (I don't always, just sometimes) and it's probably because they don't have a good approach to them. Here's how I do word problems:

1) Read the whole thing first, so you have an idea of what it's talking about.
2) Start working at the end.
This one asks "same value" so you put down:
=
Then it says "how long" You need more than an = sign before you can get to this, so you keep going backwards.
Ok, your father's stock goes up $6 a week, and your aunt's goes down $10.
3) Assign a variable to what you need to know. In this case, it is "how long," in weeks (because that's what you're given.) So for simplicity's sake, we'll use "w"
Your father's goes up positive 6 every week. That means after however many weeks, you will have $6 times that number of weeks. So:
6w
Your aunt's goes down negative 10, so:
-10w
We can put these onto your paper with the = sign now,
6w = -10w
But we're not done yet.
Your father's started at $60, your aunt's at $124. Where are you going to put these?

Well, at week 0, you're father's has to equal 60. So if you plug in 0 for w (in just that side of the equation (6w)) what else do you need to make it 60?
6(0) = 0
0 + ? = 60
+60
So we do 6w + 60 for that side.
Now do the same for your aunt's.
-10w + 124

Now put it all together:
6w + 60 = -10w +124
And solve.

Answer 3

Each week your dad's stock is $60 + 6w -- where 'w' stands for the number of weeks; your dad's stock starts out at $60 and increases $6 per week.

Each week your aunt's stock is $124 - 10w -- where 'w' stands for the number of weeks; your aunt's stock starts out at $124 and decreases $10 per week.

To determine when your dad's stock will have the same value as your aunt's stock, set these two terms equal and solve for 'w' :

60 + 6w = 124 - 10w

(add 10w to both sides, subtract 60 from both sides)

16w = 64

(divide both sides by 16)

w = 4

ANSWER: 4 weeks

Answer 4

week=x ok father +6x aunt -10x
60+6x=124-10x
16x=64 x=4 answer is 4 weeks

Answer 5

4 weeks

Answer 6

4 weeks