Word problem help

[Guest]

Henry sold 120 magazines subscriptions in x+2 days. If he sold at the same rate for another week, then how many magazines did he sell in the next week?

I think I should begin solving like this.

120=(x+2)^2
120=(x+2)(x+2)
120=x^2+2x+2x+4
120=x^2+4x+4

I do not know where to go from here. Please help. Thank you

 

[soroban]

Hello, birdbook!

Is that the exact wording of the problem?
There is no specific solution.

Henry sold 120 magazines subscriptions in x+2 days.
If he sold at the same rate for another week,
then how many magazines did he sell in the next week?

I think I should begin solving like this.

120=(x+2)^2 \(\displaystyle \;\) . . . why?

He sold 120 subscriptions in \(\displaystyle x+2\) days.

His rate is: \(\displaystyle \,\frac{120}{x\,+\,2}\) subscriptions per day.

In seven days, he will sell: \(\displaystyle \,7\,\times\,\frac{120}{x\,+\,2}\) subscriptions

\(\displaystyle \;\;\;\). . . and that's it!

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Let me give you a similar (and equally silly) problem.

Henry drove 300 miles . . . and I won't tell you how long he drove.

If he drives at the same speed, how far will me drive in 7 hours?

 

[Guest]

The only thing I left off was the direction said to solve each problem and solution could be a rational expression. I wrote the problem exactly how it was written. Thank you for your help.