SOLUTION: In a recent year, Americans spent a total of $35 billion to remodel bathrooms and kitchens. Twice as much was spent on kitchens as bathrooms. How much was spent on each? I sta

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Question 216714: In a recent year, Americans spent a total of $35 billion to remodel bathrooms and kitchens. Twice as much was spent on kitchens as bathrooms. How much was spent on each?

I started setting up the problem like this:
x+2x=35 bill.
3x=35 bill.
Then divided both sides by 3. But the answer just doesn't look right.

Found 2 solutions by rfer, jim_thompson5910:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
3x=35 bill
x=11.67 bill
2x=23.33 bill
do your proof
23.33+11.67=$35 bill

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
You have the right steps and you're on the right track to the get the answer. The solution for 'x' should be (which is approximate). Since , this means



So rounded to the nearest penny, the amount spent (in billions of dollars) to remodel bathrooms and kitchens was $11.67 billion and $23.33 billion.


Note: the values 11.67 and 23.33 add to 35 (11.67+23.33=35) and 23.33 is double that of 11.67. This verifies our answer.

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