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Data Sufficiency Butler: June 2026
June 3DS 1DS 2

___________________
DS 1

A coffee shop is running a customer raffle in which each slip in a raffle box is labeled either Coffee or Sandwich but not both, indicating the prize on that slip. For one promotional drawing, one slip is selected at random, returned to the box, and then a second slip is selected at random. What is the probability that one selected slip is labeled Coffee and the other is labeled Sandwich?

(1) The probability that the two selected slips have the same label is 5/8.
(2) The number of Sandwich slips in the box is 3 times the number of Coffee slips.

___________________
DS 2

At the beginning of 2023, a fitness club had 800 active members. During 2023, some of the members who had been active at the beginning of the year canceled their memberships and did not rejoin, and every new member who joined during 2023 remained active through the end of the year. If x percent of the members active at the beginning of 2023 canceled their memberships and did not rejoin, and if the number of active members at the end of 2023 was y percent greater than the number active at the beginning of 2023, how many new members joined the club during 2023?

(1) x - y = 7
(2) x + y = 35
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