Question

The sum of twice the number of green marbles and the number of yellow marbles in a bag is more than 20. The total number of green and yellow marbles is less than 15. Which of the following is a viable solution to the system of inequalities, where x is the number of green marbles and y is the number of yellow marbles?(1 point)

(8,6)


(3,12)


(10,5)


(6,7)

Answer 1

We need 2x + y > 20 and x + y < 15.

Check (8,6): 2(8)+6 = 22 > 20 and 8+6 = 14 < 15. So (8,6) satisfies both inequalities.

The other choices fail one or both conditions. Thus (8,6) is the viable solution.