Keane has a total of 96 counters. Some are green and some are red. The ratio of the number of red to number of green counters is 3 : 5. How many more green counters than red?

There are 24 more green counters than red

Solution:

Given that, Keane has a total of 96 counters

Some are green and some are red.

The ratio of the number of red to number of green counters is 3 : 5

number of red counters : number of green counters = 3 : 5

Let the number of red counters be 3x

Let the number of green counters be 5x

Total number of counters = 96

Therefore,

number of red counters + number of green counters = 96

3x + 5x = 96

8x = 96

x = 12

Number of red counters = 3x = 3 (12) = 36

Number of green counters = 5x = 5 (12) = 60

Number of green counters than red = number of green counters - number of red counters

Number of green counters than red = 60 - 36 = 24

Thus there are 24 more green counters than red