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Juanita and Brett had $280 altogether. After Juanita spent 1/2 of her money and Brett spent 1/4 of his money, they each had the same amount of money left. How much money did Juanita have at first?
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"Juanita and Brett had $280 altogether" translates to: j + b = 280 "After Juanita spent 1/2 of her money and Brett spent 1/4 of his money, they each had the same amount of money left" translates to j - (1/2)j = b - (1/4)b
So what we have is a system where j + b = 280 j - j/2 = b - b/4 and j represents the amount of money juanita had originally and b represents the amount of money brett had originally and we are asked to solve for j.
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