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1. Dominic sold tickets for a band concert. He sold adult tickets for $8 and students tickets for $6. Dominic sold 137 tickets for a total of $952. Define the variables you will use and write a system of equations to represent the situation. Solve the system to determine how many of each type of ticket he sold.

2. Alex sold flowers as a sports fundraiser. He sold each rose for $3.50 and each carnation for $2.50. Alex sold 264 flowers for a total of $772. Define the variables you will use and write a system of equations to represent the situation. Solve the system to determine how many of each type of flower he sold.

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surjithayer10otahza surjithayer10otahza · Answer 1 · 2019-10-07T19:35:43+02:00

Answer:

Step-by-step explanation:

let number of adult tickets=x

and number of student tickets=y

x+y=137 ...(1)

8x+6y=952

divide by 2

4x+3y=476 ...(2)

multiply by 3

3x+3y=411 ....(3)

(2)-(3) gives

x=65

y=137-65=72

number of adult tickets=65

number of student tickets=72

2.

let number of rose flowers =x

and number of carnation flowers=y

x+y=264

y=264-x

3.50 x+2.50y=772

multiply by 2

7x+5y=1544

7 x+5(264-x)=1544

7 x+1320-5 x=1544

2 x=1544-1320

2 x=224

x=112

y=264-112=152

number of rose flowers=112

number of carnation flowers=152