in 11 months i earned $90 so if i earned $1000 how long would that be

Question

Please help me because google wouldn't.

Answer 1

If you earned $90 in 11 months, you would divide 90 by 11 to get your monthly income.

 

90/11 = $8.18 per month

 

So if you earn $8.18 a month, how long would it take for you to earn $1000?  Just divide 1000 by 8.18:

 

1000/8.18 = 122.25 months = 10.19 years

 

I'm not 100% positive I understood your question -- but if this isn't correct please revise.

 

 

Answer 2

Let's translate into the language of algebra:

 

We're looking for a payment rate, X, with units of dollars per month; $/m

 

11 months times the payment rate of X $/m = $90

 

The units, writing them out like this, guide the math.

 

11m(X $/m) = $90

 

The two m's, standing for months, divide out.

 

11X $ = $90

 

This checks so far, showing us we're doing this the right way, because we have units of dollars on both sides of the equation.

 

X = $90/11m

 

That's the rate. If we divide it out, X = 8.182 $/month

 

Now, how long does it take to make $1000?

 

New variable is Y, stands for number of months.

 

Ymonths(8.182 $/month) = $1000

 

Solve for Y:

 

Y months = $1000/(8.182 $/month)

 

The dollars divide out on the right side, the /month being in the denominator flips up to the numerator and we have Y = 122.22 months.

 

Which is 10 years, 2 months and 1 week, approximately.