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March 1, 2015

Posted by **jessica** on Wednesday, August 19, 2009 at 9:43pm.

- math -
**Reiny**, Wednesday, August 19, 2009 at 10:43pmlet Brian's wage pumping gas be $x

then his wage tutoring is $2x

his sister's wage is 2x/4 = x/2

"His total weekly wages are $150 more than that of his younger sister"

If found that a lot of students have difficulty with that kind of a statement.

They don't know whether to add/subtact the $150.

I used to have my students translate the above into something like...

His wages are greater than the sister's wages by 150

---> x + 2x > x/2 by 150

so to make that statement into an equation we would add the 150 to the smaller side or ...

x+2x = x/2 + 150

3x = x/2+150

6x = x+300

5x = 300

x = 60

so Brian earns 2x as a tutor or $120

check:

Brian pumping gas : 60

Brian tutoring : 120

total of his wages = 180

sister : half of his tutoring or 30

does Brian make 150 more than the sister ? YES!

- math -
**jessica**, Wednesday, August 19, 2009 at 10:57pmthank you so much

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