**John had some red and blue marbles in a box. The sum of 1/4 of the red marbles and 2/5 of the blue marbles in the box is 64. The sum of 3/4 of the red marbles and 4/5 of the blue marble in the box is 144.a) How many red marbles are there in the box?b) How many blue marbles are there in the box?Solution**

Red (all marbles) --> R R R R

Blue (all marbles) --> B B B B B

1/4 or red marbles and 2/5 or blue marbles -- > 64

R + B B --> 64

3/4 of red marble and 4/5 of blue marbles --> 144

R R R + B B B B --> 144

R + B B --> 64 (multiply all by 2)

R R + B B B B --> 128

We now have

R R R + B B B B --> 144

R R + B B B B --> 128

R --> 144 - 128 = 16

a)

Number of Red Marbles

R R R R --> 4 x 16 = 64

**Answer: 64 red marbles**

b)

R + B B --> 64

16 + B B --> 64

B B --> 64 - 16 = 48

B --> 48 divided by 2 = 24

Number of Blue Marbles

B B B B B --> 5 x 24 = 120

**Answer: 120 blue marbles**

## No comments:

Post a Comment