Answer:
There are 5 black counters in the bag.
Step-by-step explanation:
15 green counters in the bag
The proportion of green counters is given by:
[tex]p = 1 - (\frac{1}{3} + \frac{1}{6}) = 1 - (\frac{2}{6}+\frac{1}{6}) = 1 - \frac{3}{6} = 1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2}[/tex]
So, we have that, the total is x. So
[tex]\frac{x}{2} = 15[/tex]
[tex]x = 30[/tex]
There are 30 total counters.
How many black counters are in the bag ?
A sixth of the counters are black. So
[tex]\frac{1}{6} \times 30 = \frac{30}{6} = 5[/tex]
There are 5 black counters in the bag.
