Glen and Connie are ticket-sellers at their class play

Question

Glen and Connie are ticket-sellers at their class play, Glen handling student tickets that sell for $9.80 each and Connie selling adult tickets for $14.90 each. If their total income for 114 tickets was $1652.70, how many did Connie sell?

Answer 1

To solve this you have to set up a system of equations. We will have x stand for the tickets Glen sold and y stand to the number of tickets Connie sells. Set up the first equation by multiplying the price by the corresponding variable and set it equal to the total income: 9.80x+14.90y=1652.70. The second equation is simply adding x and y and setting it equal to the total number of tickets sold: x+y=114. Now solve for x in the second equation: x=114-y. Next plug in the x value into the first equation: 9.80(114-y)+14.90y=1652.70. Multiply: 1,117.2-9.80y+14.90y=1652.70. Simplify: 5.1y=535.5. Solve for y: y=105. Connie sold 105 tickets and Glen sold 9. 

Answer 2

Same method as the one just answered.