Question 129510: Eloise bought new clothes for school. In the first store, she spent half the money she had, plus $10. In the second store, she spent half of what was left, plus $5. In the last store, she spent three-fourths (3/4) of what was left, and came home with $5.
How much money did Eloise start out with?
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! let x="starting money"
"In the first store, she spent half the money she had, plus $10" __ .5x-10 left
"In the second store, she spent half of what was left, plus $5" __ .5(.5x-10)-5 left
"In the last store, she spent three-fourths (3/4) of what was left" __ .25(.5(.5x-10)-5) left
"and came home with $5" __ 5=.25(.5(.5x-10)-5)
multiplying by 4 __ 20=.5(.5x-10)-5
adding 5 and multiplying by 2 __ 50=.5x-10
adding 10 and multiplying by 2 __ 120=x
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