Question

2. The ratio of white marbles to blue marbles is equal to 2:3. There are more than 20

marbles in the bag. What is a possible number of white marbles and blue marbles in the
bag? (Eg. white marbles, blue marbles)

Answer 1

24 white marbles, 36 black marbles

Explanation:

System of Inequalities:

x + y > 20

2/5y + 3/5x > 20

solve first inequality for 'y':

y > 20 - x

Use substitution to solve for 'x':

2/5(20 - x) + 3/5x > 20

8 - 2/5x + 3/5x > 20

1/5x > 12

x > 60

2/5 of 60 = 24

3/5 of 60 = 36