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Algebra 2Application System Word Problems

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Define your variables. Write a system of equations. Solve algebraically or by using matrices.

l.) Calvin has $8.80 in pennies and nickels. If there are twice as many nickels as pennies, how many pennies does Calvin have?How many nickels?

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2.) A total of 78 seats for a concert are sold, producing a total revenue of$483. If seats cost either $2.50 or $10.50, how many$2.50 seats and how many $10.50 seats were sold?

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3.) Tickets to a concert cost either $12 or $15. A total of300 tickets are sold, and the total receipts were $4140. How many ofeach kind of ticket were sold?

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Phoebe has some 32-cent stamps, some 29-cent stamps, and some 3-cent stamps. The number of 29-cent stamps is 10 lessthan the number of32-cent stamps, while the number of3-cent stamps is 5 less than the number of 29-cent stamps. The totalvalue of the stamps is $9,45. How many of each stamp does she have?

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6.) Billy's Restaurant ordered 200 flowers for Mother's Day. They ordered carnations at $1.50 each, roses at $5.75 each, anddaisies at $2.60 each. They ordered mostly carnations, and 20 fewer roses than daisies. The total order came to $589.50.How many of each type of flower was ordered?

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/.) 1ne Arcac ium arcade in Lynchburg, Tennessee uses 3 different colored tokens for their game machines. For $20 you canpurchase any of the following mixtures of tokens: 14 gold, 20 silver, and 24 bronze; OR, 20 gold, 15 silver, and 19 bronze;OR, 30 gold, 5 silver, and 13 bronze. What is the monetary value of each token?

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8.) Last Tuesday, Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3ways: a matinee admission costs $5, student admission is $6 all day, and regular admissions are $8.50. How many of eachtype of ticket was sold if twice as many student tickets were sold as matinee tickets?

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