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Patrick saved 7/25 of his salary. He gave 1/2 of the remainder to his mother, and spent the rest. He has $1080 left. How much was Patrick's salary?

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saved: 7/25, leaving 18/25
gave 1/2 * 18/25 = 9/25, leaving 9/25
so,
9/25 x = 1080
find x

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