Of the 10 contestants in a televised quiz competition, 2 were eliminated during this week’s show, and 2 more will be eliminated during next week’s show. How many groups of 6 remaining contestants are possible a week from now? Assume that the show airs on the same day every week.

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?