Melissa spend 1/3 of the money she made last week on a pair of new tennis shoes. She bought 2 CDs, which coset her 1/2 of the money she had left. She and her friend Jane went to a movie, which coset her $9.50. She ahs $13.50 left.
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Let the money she earnt be = x.
So, the money she spent on new shoes is = x/3
Money left after buying shoes = x - x/3 = 2x/3
Money spent on CD's = 2x/3 * 1/2 = x/3
Money spent on the movie tickets = 9.50
Total money left = 13.50
Putting all these in an equation, we get
x - x/3 - x/3 - 9.50 = 13.50
x - 2x/3 = 23.00
x/3 = 23.00
x = 69.00 dollars
She earnt 69 dollars
So, the money she spent on new shoes is = x/3
Money left after buying shoes = x - x/3 = 2x/3
Money spent on CD's = 2x/3 * 1/2 = x/3
Money spent on the movie tickets = 9.50
Total money left = 13.50
Putting all these in an equation, we get
x - x/3 - x/3 - 9.50 = 13.50
x - 2x/3 = 23.00
x/3 = 23.00
x = 69.00 dollars
She earnt 69 dollars
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x(2/3)(1/2) - 9.5 = 13.5
x(1/3) = 23
x=69
x(1/3) = 23
x=69