A museum sold 50 more adult tickets at $6.50 each than children's admission tickets at $5.50 each. What is the minimum
number of each type of ticket that the cashier had to sell for
the total receipts to be at least $1000? [Show or explain the
procedure used to obtain your answer.]

-1 x + 1 y = 50 1

5.5 x + 6.5 y = 1000 2

Eliminate y

multiply (1)by -6.5

Multiply (2) by 1

6.5 x -6.5 y = -325

5.5 x 6.5 y = 1000

Add the two equations

12 x = 675

/ 12

x = 56.25 OR 56 1/4

plug value of x in (1)

-1 x + 1 y = 50

-56.25 + 1 y = 50

1 y = 50 +

1 y = 106.25

y = 106.25

child tickets 56 1/4 numbers

Adult tickets 106 1/4 numbers

child tickets minimum 57

adult tickets minimum 106

Step-by-step explanation:

2

step-by-2step explanation:

(-1,-0.5)

step-by-step explanation: