Formulate a system of equations for the situation below and solve. A theater has a seating capacity of 900 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $5600. How many children attended the show? children

Q: A ferry carries cars, drivers, and passengers across a large lake. The total charge includes $18 for…

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Q: A train has a capacity of 154 seats. Tickets for seats are sold at $8 and $12. There are 1/5 more…

A: Given that a train has a capacity of 154 seats. Tickets for seats are sold at $8 and $12. There are…

Q: players.  There are 8 teams in the league.  Each player has 2 uniforms.  it costs $5 to dry clean 2…

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Q: A pharmacist paid $2363 for some bottles of multivitamins and garlic pearls. He bought as many…

A: first we will form the equation based on the given statements then solving the equations will give…

Q: 4. Given the LP model Maximize Z =10 x1 +15x2 +20x3 Subject to 2 x1+4 x2+6 x3524 3 x1+9 x2+6 x3530…

A: To Determine :-  a. The range of objective function coefficient c2 of variable x2 such that the…

Q: Bobby has two jobs. He makes $10 an hour as a tutor and 6$ an hour as a waiter. Bobbys mother will…

A: Let x be the number of hours bobby worked as a tutor and y be the number of hours worked as a…

Q: Julia owns a food truck that sells tacos and burritos. She only has enough supplies to make 67 tacos…

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Q: Which student has a better grade? By how much?

A: Weights : Exams: 40% Quizzes: 30%  Class participation: 30%

Q: You want to buy a combination of 50 small treats for your friends. Treat A cost $0.45 each and Treat…

A: See the detailed solution below.

Q: You work 20 hours per week at a candy store and earn $8.50 per hour. You also earn $8.00 per hour…

A: Follow next step

Q: To produce a textbook, suppose the publisher spent $140,000 for typesetting and $5.50 per book for…

A: Given Data: Let us consider the given total cost to print n books , C=140,000+5.5n

Q: John bought thrice as many apples as bananas. Kevin bought four times as many bananas as John and…

A: Let the number of bananas bought by John be x. Then the number of apples bought by John is 3x ∵John…

Q: A charity sells candy bars and bags of snack mix for a fundraiser.  Each candy bar costs $2.50 and…

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Q: Emily and her family are planning a trip to Hocking Hills for a weekend in either October or…

A: The objective of this question is to determine which month would be the most cost-effective for…

Q: A theater charges $8 for​ main-floor seats and $4 for balcony seats. If all seats are​ sold, the…

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Q: One group of people purchased 10 hot dogs and 5 soft drinks at a cost of $12.50. A second group…

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Q: A concert promoter needs to make $760,000 from the sale of 16,000 tickets. The promoter charges $40…

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Q: 4. A café sold 15 cups of tea and 30 cups of chai for a total of $210 on the first day of business.…

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Q: The price of grapes is $2.19 per pound. The price of bananas is $0.59 per pound. The price of pears…

A: The price of grapes is $2.19 per pound.            So, cost of 3 pounds of grapes is  = $2.19 × 3…

Q: On a recent trip to the convenience store, you picked up 2 gallons of milk, 4 bottles of water, and…

A: Given query is to find the cost of each item.

Q: Darius had some fruits at his stall. 3/8 of them were avocados, 3/4 of the remainder were…

A: Darius had some fruits at his stall. Let total number of fruits = x

Q: Jessica has twice as much money as Matthew. Jessica has four times as much money as Sam. Sam has $7…

A: Given, Jessica has twice as much money as Matthew. Jessica has four times as much money as Sam. Sam…