Question

There are green, purple and red counters in a bag in the ratio 7:3:8 There are 11 more red counters than green counters. How many green counters are there?​

Answer 1

There are 77 green counters in the bag.

Explanation:

Let's assume the number of green counters is represented by the variable "x".

According to the given ratio, the number of purple counters would be (3/7) * x, and the number of red counters would be (8/7) * x.

It is stated that there are 11 more red counters than green counters, so we can set up the equation:

(8/7) * x = x + 11

To solve this equation, we can multiply both sides by 7 to get rid of the denominator:

8x = 7x + 77

Next, we can subtract 7x from both sides:

x = 77

Therefore, there are 77 green counters in the bag.