Final answer:
The false statement about the ratio of black to white counters is that the black counters are double the white counters, which is incorrect; the correct proportion is that black counters are triple the white counters.
Step-by-step explanation:
To determine which statement is not true given a set of counters with 6 black and 2 white (8 total), let's analyze each statement:
a) The ratio of black to white counters is 6:2, which simplifies to 3:1. This means that there are three black counters for every white counter. Since there are 8 counters in total, the white counters (2) would represent 2/8 or 1/4 of the set. Therefore, this statement is true.
b) Given the simplified ratio of 3:1 for black to white counters, the number of white counters is indeed 1/3 the number of black counters (2 is 1/3 of 6). So, this statement is true.
c) Since the number of black counters (6) is three times the number of white counters (2), this statement should imply that the black counters are triple the white counters, not double. Hence, this statement is false.
d) If the black counters' ratio is 6:2, this simplifies to 3:1. With 6 black counters out of a total of 8 counters in the set means the black counters represent 6/8, which is equivalent to 3/4 of the set. Hence, this statement is true.
The statement that is not true about the set of counters is c) since it incorrectly claims that the number of black counters is double the number of white counters.