SOLUTION: Rocky McFrost spends 90 a week on karate and ballet lessons. If the karate lessons go up $10 a week, it will be two thirds the amount spent on ballet lessons. How much are the ball

Question 136375: Rocky McFrost spends 90 a week on karate and ballet lessons. If the karate lessons go up $10 a week, it will be two thirds the amount spent on ballet lessons. How much are the ballet lessons?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount spent on karate lessons per wk
Then 90-x=amount spent on ballet lessons per wk
Now this is what we are told:
x+10=(2/3)(90-x) multiply each side by 3
3x+30=180-2x subtract 30 from and add 2x to both sides
3x+2x+30-30=180-30-2x+2x collect like terms
5x=150 divide each by 5
x=$30-----------------------------amount spent on karate lessons per wk
90-x=90-30=$60----------------------amount spent on ballet lessons per wk

CK
30+10=(2/3)(60)
40=40

Hope this helps---ptaylor
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