# Math Help - Money Proportional Problem

1. ## Money Proportional Problem

"Moe earns 14 percent more than her husband Joe. Together they make 68000 per year. What is Joe’s annual salary?"

I wasn't sure if this is a statistic or proportional problem but I'm just unsure on how to go about solving it.

2. ## Re: Money Proportional Problem

Joe's salary is 'x'

Solve $1.14x+x=68000$

3. ## Re: Money Proportional Problem

Moe is a girls name!?

4. ## Re: Money Proportional Problem

Originally Posted by pickslides
Joe's salary is 'x'

Solve $1.14x+x=68000$
Oh okay. So that's the same was M + J but you've substituted M with 1.14x which is essentially Joe's salary.

EDIT: Wait, if the percentage is .14 where did you get the other 100% to get 1.14?

5. ## Re: Money Proportional Problem

Joes salary is x. Moe makes 14% more than Joe.

So M = The amount Joe Makes + 14% of the amount Joe makes
M = x + 0.14x
M = 1.14x

6. ## Re: Money Proportional Problem

If they earned the same, then M's salary would be 100% of J's salary.

M earns 14% more than joes salary, so we want 100% + 14% = 114%.

7. ## Re: Money Proportional Problem

Originally Posted by SpringFan25
If they earned the same, then M's salary would be 100% of J's salary.

M earns 14% more than joes salary, so we want 100% + 14% = 114%.
Oh, okay I see. The answer I got is: \$28333.33 but the online website for my homework wants it in dollars to two significant figures. I try submitting: 2.8x10^4 but it's wrong. I'm not sure why.

8. ## Re: Money Proportional Problem

$2.8 \cdot 10^4$ is only two significant figures.

Eg: 2.8 is two significant figures whereas 2.80 is three significant figures.

Edit: Are you sure about that answer? I get something else - Joe's salary which is the question is asking for is $x$

edit2: bye bye wrong info

9. ## Re: Money Proportional Problem

This was my process:

1.4x + x = 68000
2.4x = 68000
x = 28333.333

And in two sig fig form I got 2.8 x 10^4

Did I do something wrong in the process?

10. ## Re: Money Proportional Problem

Originally Posted by ayyisei
This was my process:

1.4x + x = 68000
2.4x = 68000
x = 28333.333
It's $1.14x + x = 2.14x = 68000$ instead of $1.4x + x = 68000$

And in two sig fig form I got 2.8 x 10^4

Did I do something wrong in the process?
Not here, I misread as 4 sig fig instead of 2. Both $2.8 \cdot 10^4 \text{ and } 28000$ are accurate to 2sf (ignore what I said in my previous post, that only occurs after the decimal point)

That is two

11. ## Re: Money Proportional Problem

Yeah. I understand now. I didn't add correctly, haha. I actual answer I got was 31775.70 but 3.2 x 10^4 in sig figs. Thank you!