Question

The Department of Recreation required applicants to score 70% on a skills test. Diane scored 78% on the first half of the test. What was the minimum score Diane needed on the second half of the test?

62%
66%
70%
72%
74%

Answer 1

Explanation:

since we are taking about true halves (I hope), both halves "weigh" the same, and a percentage in one has the same absolute value as in the other.

then the answer is just based on the mean value between both percentages :

x = percentage of the second half

70 = (78 + x)/2

140 = 78 + x

x = 140 - 78 = 62%

she needs at least 62% on the second half to pass the 70% minimum limit of the whole test.