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Solving Problems Using Systems of Equations A group was selling hot dogs and soda beforea game. Hot dogs cost $1.50 and sodas cost $0.75.At the end of an hour, they sold 16 items and collected $19.50. How many hot dogs and sodasdid they sell? Write a system of equations to represent the numberof hotdogs, x, and sodas, y, that were sold that hour. x + y = x + y = A group was selling hot dogs and soda beforea game. Hot dogs cost $1.50 and sodas cost $0.75.At the end of an hour, they sold 16 items and collected $19.50. How many hot dogs and sodasdid they sell? How many hotdogs, x, and sodas, y, were sold? Number of hotdogs: Number of sodas: You and a friend went to Taco Bell for lunch.You ordered 3 soft tacos and 3 burritos for $11.25. Your friend ordered 4 soft tacos and 2 burritos for $10. Write a system of equations. Let x = the number of soft tacos.Let y = the number of burritos.Enter only numbers into the blanks, no dollar signs. x + y = x + y = 10 You and a friend went to Taco Bell for lunch. You ordered 3 soft tacos and 3 burritos for $11.25. Your friend ordered 4 soft tacos and 2 burritos for $10. How much do soft tacos cost? How much do burritos cost? Burrito Cost: $ Soft Taco Cost: $ Mr. Smith bought 7 tickets to a puppet showand spent a total of $43. Children's tickets cost $4and adult tickets cost $9. Write a system of equations to represent the situation.Let x = the number of children's tickets.Let y = the number of adult tickets. Enter only numbers. Do not enter dollar signs. x + y = x + y = Mr. Smith bought 7 tickets to a puppet showand spent a total of $43. Children's tickets cost $4and adult tickets cost $9. How many tickets of each type did Mr. Smith purchase? Number of Children Tickets Number of Adult Tickets Sharon sold 461 tickets for a school play.Student tickets cost $3 and adult tickets cost $4. Sharon's sales totaled $1624. Write a system of equations to represent the context. Let x = the number of student tickets Pam sold.Let y = the number of adult tickets Pam sold. x + y = x + y = Sharon sold 461 tickets for a school play.Student tickets cost $3 and adult tickets cost $4. Sharon's sales totaled $1624. How many student tickets and how many adult ticketsdid Sharon sell? Number of student tickets: Number of adult tickets: Find two numbers that have a sum of 33 and a difference of 13. Write a system of equations involving x, the smallernumber and y, the larger number. y - x = x + y = Find two numbers that have a sum of 33 and a difference of 13. What are the two numbers? Smaller number: Larger number: |