Jaxon has counters in a bag. 7% of the counters are white and 70% of the counters are black. If there are 21 white counters, how many black counters are there?

1. Problem Description

Jaxon has counters in a bag. 7% of the counters are white and 70% of the counters are black. If there are 21 white counters, how many black counters are there?

2. Solution Steps

Let the total number of counters be $x$.

The number of white counters is 7% of the total counters, which is $0.07x$.

We are given that the number of white counters is

2

1. So, $0.07x = 21$.

Dividing both sides by 0.07, we get

$x = \frac{21}{0.07} = \frac{2100}{7} = 300$.

So, the total number of counters is

3

0

0. The number of black counters is 70% of the total counters, which is $0.70x$.

Substituting $x=300$, the number of black counters is $0.70 \times 300 = 210$.

3. Final Answer

There are 210 black counters.