Question

A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15 green counters in the bag. How many black counters are in the bag ?

Answer 1

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:

$p = 1 - (\frac{1}{3} + \frac{1}{6}) = 1 - (\frac{2}{6}+\frac{1}{6}) = 1 - \frac{3}{6} = 1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2}$

So, we have that, the total is x. So

$\frac{x}{2} = 15$

$x = 30$

There are 30 total counters.

How many black counters are in the bag ?

A sixth of the counters are black. So

$\frac{1}{6} \times 30 = \frac{30}{6} = 5$

There are 5 black counters in the bag.