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Twice one number plus a second number is 42, and the number minus the second number is 6. Find the numbers.
Apples are collected in a basket for six people. One-third, one-fourth, one-eighth and one-fifth are given to four people, respectively. The fifth person gets ten apples with one apple remaining for the sixth person. Find the original number of apples in the basket.
The profit function for a business is given by the equation P(x)=-4x^2+16x-7, where x is the number sold, in thousands, and P(x) is dollars in thousands. Find the maximum profit and how many items must be sold to achieve it.
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