When 40 is added to the number of miles Karen ran last week, the result is the same as adding 10 to 4 times the number of miles she ran last week.
How many miles did Karen run last week?

____mi

Question

When 40 is added to the number of miles Karen ran last week, the result is the same as adding 10 to 4 times the number of miles she ran last week.
How many miles did Karen run last week?

____mi

anonymous · Answer

$$40+x=4x + 10$$

Notice the key language here:

= the same as 
+ added to
+ adding
* times the number.

Now isolate the x on the left side of the equation and move everything else over to the right side.

anonymous · Answer

$$40-10=4x-x$$
$$30=3x$$
$$\frac{ 30 }{ 3 }=x$$
$$x=10$$

anonymous · Answer

double check your work by putting 10 back in to your original equation:
$$40+10 = 4(10) + 10$$
$$50=40+10$$
$$50=50$$ :)

anonymous · Answer

ohh I get it now :) thank you

anonymous · Answer

no problem, word problems are the bane of my existence so happy i could help for once :D

anonymous · Answer

yeah im not good with word problems haha