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1. If $900 is to be divided equally amongst a group of people, how many persons are in the group? (A) 17 (B) 19 (C) 21 (D) 15 (E) 27 2. Simplify: 6345 (A) 3 (B) 2 (C) 3 (D) 2 (E) 4 3. The Crown Movie Theater collected $705 yesterday. If 54 adults paid $9.50 each and each child paid $3.50 less than each adult, how many children paid admission? (A) 32 (B) 38 (C) 29 (D) 25 (E) 42 Answer: 1. (D) You want a number that divides 900 and has no remainder. From the list only 15 works. so the answer is D. 2. (D) 3 = 3, so 63 = 6 x 3 = 18. 5 is 5, so 4 x 5 = 20. Finally, 18  20 = 2, so the answer is D. 3. (A)
Each child paid $3.50 less than an adult admission of $9.50. So each child paid $9.50  $3.50 = $6.00. Let n = the number of children. So, 54 x $9.50 + n x $6.00 = $705 (total) or, $513 + $6n = $705 or, $6n = $192 or, n = 192/6 = 32 Final answer is (A), 32 children.
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