Question

10. The ratio of red marbles to purple marbles is 3:8. If there are 44

marbles, how many purple marbles are there? *

Answer 1

There are 32 purple marbles and 12 red marbles

Explanation:

The ratio is 3:8 and the total is 44. For 3 red marbles, they have 8 purple marbles but we don't know how many each marble we need if the total sum is 44. So we do...

3x+8x=44

11x=44

x=4

We need to know the number of purple marbles so we do,

8*4=32

Answer 2

32 purple marbles.

Explanation:

Turn 3:8 into 3x+8x.

Equation:

3x+8x=44

x=4

Now, refer back to 3x:8x. We know that x=4, so 4*8=32.

32 purple marbles.