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Algebra: Word Problems

Directions: Solve each problem.

1. Adam is 3 times as old as Cynthia and Fred is 16 yrs. younger than Adam. One year ago, Adam's age was twice the sum of Chyntia's & Fred's age. Find their present age.
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2. In the first year of production a play sells 1572 tickets, in its second year it sells 1753 tickets, in its third year it sells 152 less than in its second year. How many tickets are sold in 3 years?
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3. Mark reads at an average rate of 30 pages per hour, while Mindy reads at an average rate of 40 pages per hour. If Mark starts reading a novel at 4:30 PM, and Mindy begins reading the same novel at 5:20 PM, at what time will they be reading the same page?
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4. Eight times a number plus 3 times the number is the same as 20 more than 9 times the number. Find the number.
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5. If 5 times the first number plus three times the second number equals 47, and 10 times the first number minus 4 times the second number equals 54, what are the numbers?
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